* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (- (+ (* (* b (* b 4)) (- 1 (* a 3))) (* (sqr a) (+ 4 (* a 4)))) (- 1 (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in b * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr a) (sqr b))) in b * [misc]taylor: Taking taylor expansion of (+ (sqr a) (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr a) (sqr b))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr a) (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr a) (sqr b))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr a) (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (+ 0 (sqr b)) into (sqr b) * [misc]backup-simplify: Simplify (* (sqr b) (sqr b)) into (pow b 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (sqr b) 1) into (sqr b) * [misc]backup-simplify: Simplify (+ 0 (sqr b)) into (sqr b) * [misc]backup-simplify: Simplify (* 4 (sqr b)) into (* 4 (sqr b)) * [misc]backup-simplify: Simplify (+ (pow b 4) (* 4 (sqr b))) into (+ (pow b 4) (* 4 (sqr b))) * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (* 4 (sqr b))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of (* 4 (sqr b)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (* 0 (sqr b))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) -3) (* 0 1)) into (- (* 3 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 3 (sqr b)))) into (- (* 3 (sqr b))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 3 (sqr b)))) (* 0 (sqr b))) into (- (* 12 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 12 (sqr b)))) into (- (* 12 (sqr b))) * [misc]taylor: Taking taylor expansion of (- (* 12 (sqr b))) in b * [misc]taylor: Taking taylor expansion of (* 12 (sqr b)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 12 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (sqr b) 1) (+ (* 0 0) (* 1 (sqr b)))) into (* 2 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 -3) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (+ (* 0 (- (* 3 (sqr b)))) (* 0 (sqr b)))) into 4 * [misc]backup-simplify: Simplify (+ (* 2 (sqr b)) 4) into (+ 4 (* 2 (sqr b))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (sqr b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (+ (* 0 0) (* 0 0))) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (sqr b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1) (* 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (+ (* 0 1) (+ (* 0 (- (* 3 (sqr b)))) (* 0 (sqr b))))) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 4 (pow (* 1 a) 3)) (+ (* 4 (sqr (* b 1))) (* 4 (sqr (* 1 a))))) into (+ (* 4 (pow a 3)) (+ (* 4 (sqr b)) (* 4 (sqr a)))) * [misc]approximate: Taking taylor expansion of (+ (sqr (+ (sqr (/ 1 a)) (sqr (/ 1 b)))) (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqr (+ (sqr (/ 1 a)) (sqr (/ 1 b)))) (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (/ 1 a)) (sqr (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 a)) (sqr (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 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 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (sqr (+ (sqr (/ 1 a)) (sqr (/ 1 b)))) (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (/ 1 a)) (sqr (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 a)) (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (sqr (+ (sqr (/ 1 a)) (sqr (/ 1 b)))) (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (/ 1 a)) (sqr (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 a)) (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (sqr b))) (+ (* 0 0) (* (/ 1 (sqr b)) 1))) into (* 2 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (* 0 1)) into 4 * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (sqr b))) 4) into (+ 4 (* 2 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (sqr b)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (sqr b))) (+ (* (/ 1 (sqr b)) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* (/ 1 (sqr b)) -3) into (/ -3 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ -3 (sqr b))) into (- (* 3 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 3 (/ 1 (sqr b))))) (+ (* 0 1) (* 0 1))) into (- (* 12 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 12 (/ 1 (sqr b))))) into (- (* 12 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (- (* 12 (/ 1 (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr b)) (/ 1 (sqr b))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 1) (* 0 -3)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (sqr b))) (+ (* 0 (- (* 3 (/ 1 (sqr b))))) (+ (* 0 1) (* 0 1)))) into (* 4 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) (* 4 (/ 1 (sqr b)))) into (+ (/ 1 (pow b 4)) (* 4 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (sqr (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))))) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) * [misc]approximate: Taking taylor expansion of (+ (sqr (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqr (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (sqr (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (+ (sqr (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-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 (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 4 -1) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]taylor: Taking taylor expansion of -4 in b * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (sqr b))) (+ (* 0 0) (* (/ 1 (sqr b)) 1))) into (* 2 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (* 0 -1)) into 4 * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (sqr b))) 4) into (+ 4 (* 2 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (sqr b)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (sqr b))) (+ (* (/ 1 (sqr b)) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (- -3) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* (/ 1 (sqr b)) 3) into (/ 3 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ 3 (sqr b))) into (* 3 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (* 4 (* 3 (/ 1 (sqr b)))) (+ (* 0 1) (* 0 -1))) into (* 12 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (* 12 (/ 1 (sqr b)))) into (* 12 (/ 1 (sqr b))) * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr b)) (/ 1 (sqr b))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 1) (* 0 3)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (sqr b))) (+ (* 0 (* 3 (/ 1 (sqr b)))) (+ (* 0 1) (* 0 -1)))) into (* 4 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) (* 4 (/ 1 (sqr b)))) into (+ (/ 1 (pow b 4)) (* 4 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (sqr (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))))) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (sqr b) 1) into (sqr b) * [misc]backup-simplify: Simplify (+ 0 (sqr b)) into (sqr b) * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) -3) (* 0 1)) into (- (* 3 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 3 (sqr b)))) into (- (* 3 (sqr b))) * [misc]taylor: Taking taylor expansion of (- (* 3 (sqr b))) in b * [misc]taylor: Taking taylor expansion of (* 3 (sqr b)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 -3) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1) (* 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 a) 3)) (+ (* 1 (sqr (* b 1))) (* 1 (sqr (* 1 a))))) into (+ (pow a 3) (+ (sqr b) (sqr a))) * [misc]approximate: Taking taylor expansion of (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 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 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* (/ 1 (sqr b)) -3) into (/ -3 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ -3 (sqr b))) into (- (* 3 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (- (* 3 (/ 1 (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 1) (* 0 -3)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* (/ 1 (/ 1 b)) 1))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 3)) (* -3 (* (/ 1 (sqr (/ 1 b))) (/ 1 (/ 1 a)))))) into (- (+ (pow a 3) (sqr b)) (* 3 (* (sqr b) a))) * [misc]approximate: Taking taylor expansion of (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (- -3) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* (/ 1 (sqr b)) 3) into (/ 3 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ 3 (sqr b))) into (* 3 (/ 1 (sqr b))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 1) (* 0 3)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* (/ 1 (/ 1 (- b))) 1))) (+ (* -1 (pow (* 1 (/ 1 (/ 1 (- a)))) 3)) (* 3 (* (/ 1 (sqr (/ 1 (- b)))) (/ 1 (/ 1 (- a))))))) into (- (+ (pow a 3) (sqr b)) (* 3 (* (sqr b) a))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 a) into (* 3 a) * [misc]backup-simplify: Simplify (- (* 3 a)) into (- (* 3 a)) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 a))) into (- 1 (* 3 a)) * [misc]backup-simplify: Simplify (* 0 (- 1 (* 3 a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (- 1 (* 3 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (- 1 (* 3 a))))) into (- 1 (* 3 a)) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (- 1 (* 3 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (* 3 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -3 (* a (sqr b))) (* 1 (sqr (* 1 b)))) into (- (sqr b) (* 3 (* (sqr b) a))) * [misc]approximate: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 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 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 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 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ 1 a)) into (/ 3 a) * [misc]backup-simplify: Simplify (- (/ 3 a)) into (- (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (- 1 (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) 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) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- 1 (* 3 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 b))))) (* -3 (* (/ 1 (/ 1 a)) (/ 1 (sqr (/ 1 b)))))) into (- (sqr b) (* 3 (* (sqr b) a))) * [misc]approximate: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ -1 a)) into (/ -3 a) * [misc]backup-simplify: Simplify (- (/ -3 a)) into (* 3 (/ 1 a)) * [misc]backup-simplify: Simplify (+ 1 (* 3 (/ 1 a))) into (+ 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (+ 1 (* 3 (/ 1 a)))) into (+ 1 (* 3 (/ 1 a))) * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ -1 a))) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ 1 (* 3 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ -1 a)))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ 1 (* 3 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 1 (* 3 (/ 1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 1 (* 3 (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- b)))))) (* 3 (* (/ 1 (/ 1 (- a))) (/ 1 (sqr (/ 1 (- b))))))) into (- (sqr b) (* 3 (* (sqr b) a))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqr (+ (sqr a) (sqr b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr a) (sqr b))) in b * [misc]taylor: Taking taylor expansion of (+ (sqr a) (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr a) (sqr b))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr a) (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr a) (sqr b))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr a) (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (+ 0 (sqr b)) into (sqr b) * [misc]backup-simplify: Simplify (* (sqr b) (sqr b)) into (pow b 4) * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (* 0 (sqr b))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (sqr b) 1) (+ (* 0 0) (* 1 (sqr b)))) into (* 2 (sqr b)) * [misc]taylor: Taking taylor expansion of (* 2 (sqr b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (sqr b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (sqr (+ (sqr (/ 1 a)) (sqr (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (/ 1 a)) (sqr (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 a)) (sqr (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (/ 1 a)) (sqr (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 a)) (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (/ 1 a)) (sqr (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 a)) (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (sqr b))) (+ (* 0 0) (* (/ 1 (sqr b)) 1))) into (* 2 (/ 1 (sqr b))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (sqr b))) (+ (* (/ 1 (sqr b)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr b)) (/ 1 (sqr b))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (sqr (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))))) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) * [misc]approximate: Taking taylor expansion of (sqr (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-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 (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (sqr b))) (+ (* 0 0) (* (/ 1 (sqr b)) 1))) into (* 2 (/ 1 (sqr b))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (sqr b))) (+ (* (/ 1 (sqr b)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr b)) (/ 1 (sqr b))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (sqr (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))))) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (pow a 3)) (+ (* 4 (sqr b)) (* 4 (sqr a)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (+ (* 4 (* (+ 1 a) (* a a))) (- (* 4 (* b b)) 1)) * * * * [misc]progress: [ 2 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* b a) (* b a))) (+ (- (pow b 4) 1) (pow a 4))) * * * * [misc]progress: [ 3 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* b a) (* b a))) (+ (- (pow b 4) 1) (pow a 4))) * * * * [misc]progress: [ 4 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (pow a 3) (+ (sqr b) (sqr a))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (- (* 4 (+ (* b b) (* (+ 1 a) (sqr a)))) (- 1 (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * * * * [misc]progress: [ 5 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqr (+ (sqr a) (sqr b))) (* 4 (- (+ (pow a 3) (sqr b)) (* 3 (* (sqr b) a))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (- (* (- (+ (cube a) (* b b)) (* (* b b) (* 3 a))) 4) (- 1 (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * * * * [misc]progress: [ 6 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqr (+ (sqr a) (sqr b))) (* 4 (- (+ (pow a 3) (sqr b)) (* 3 (* (sqr b) a))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (- (* (- (+ (cube a) (* b b)) (* (* b b) (* 3 a))) 4) (- 1 (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * * * * [misc]progress: [ 7 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (- (sqr b) (* 3 (* (sqr b) a)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (- (+ (* (* b 4) (- b (* 3 (* b a)))) (* (+ (* a 4) 4) (sqr a))) (- 1 (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * * * * [misc]progress: [ 8 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (- (sqr b) (* 3 (* (sqr b) a)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (- (+ (* (* b 4) (- b (* 3 (* b a)))) (* (+ (* a 4) 4) (sqr a))) (- 1 (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * * * * [misc]progress: [ 9 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (- (sqr b) (* 3 (* (sqr b) a)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (- (+ (* (* b 4) (- b (* 3 (* b a)))) (* (+ (* a 4) 4) (sqr a))) (- 1 (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * * * * [misc]progress: [ 10 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 0 (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (- (+ (* (* (* 4 b) b) (- 1 (* 3 a))) (* (+ 4 (* 4 a)) (* a a))) 1) * * * * [misc]progress: [ 11 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (+ (+ (* (* 4 (sqr b)) (- 1 (* a 3))) (* (* a a) (+ (* a 4) 4))) (+ (+ (pow b 4) (- (pow a 4) 1)) (* 2 (* (sqr b) (* a a))))) * * * * [misc]progress: [ 12 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (+ (+ (* (* 4 (sqr b)) (- 1 (* a 3))) (* (* a a) (+ (* a 4) 4))) (+ (+ (pow b 4) (- (pow a 4) 1)) (* 2 (* (sqr b) (* a a))))) * * * * [misc]progress: [ 13 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (sqr (+ (sqr a) (sqr b)))) (exp (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (exp (+ (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (+ (* (- 1 (* 3 a)) (* (* 4 b) b)) (* (sqr a) (+ 4 (* 4 a)))))) * [exit]simplify: Simplified to (exp (+ (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (+ (* (- 1 (* 3 a)) (* (* 4 b) b)) (* (sqr a) (+ 4 (* 4 a)))))) * * * * [misc]progress: [ 14 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (log (+ (+ (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (* 4 (* b b)) (- 1 (* a 3)))) (* (* a 4) (+ a (sqr a))))) * [exit]simplify: Simplified to (log (+ (+ (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (* 4 (* b b)) (- 1 (* a 3)))) (* (* a 4) (+ a (sqr a))))) * * * * [misc]progress: [ 16 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (* (pow (exp (sqr a)) (+ (* a 4) 4)) (pow (pow (exp 4) (* b b)) (- 1 (* a 3)))) (exp (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (pow (exp (sqr a)) (+ (* a 4) 4)) (pow (pow (exp 4) (* b b)) (- 1 (* a 3)))) (exp (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * * * * [misc]progress: [ 17 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (cbrt (+ (+ (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (* 4 (* b b)) (- 1 (* a 3)))) (* (* a 4) (+ a (sqr a))))) * [exit]simplify: Simplified to (cbrt (+ (+ (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (* 4 (* b b)) (- 1 (* a 3)))) (* (* a 4) (+ a (sqr a))))) * * * * [misc]progress: [ 18 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (cube (+ (+ (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (+ 4 (* a 4)) (sqr a))) (* (* 4 (* b b)) (- 1 (* a 3))))) * [exit]simplify: Simplified to (cube (+ (+ (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (+ 4 (* a 4)) (sqr a))) (* (* 4 (* b b)) (- 1 (* a 3))))) * * * * [misc]progress: [ 19 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (* 4 (* b b)) (- 1 (* a 3)))) (* (* a 4) (+ a (sqr a))))) * [exit]simplify: Simplified to (sqrt (+ (+ (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (* 4 (* b b)) (- 1 (* a 3)))) (* (* a 4) (+ a (sqr a))))) * * * * [misc]progress: [ 20 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (+ (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (- (sqr a) (- a 1)))) (* (* (+ (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a))))) (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) 4)) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (- (sqr a) (- a 1)))) (* (* (+ (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a))))) (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) 4)) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (353 enodes) * [exit]simplify: Simplified to (* (* (+ (- (sqr a) a) 1) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* a b) (* a b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* a b) (* a b))))) * [exit]simplify: Simplified to (* (* (+ (- (sqr a) a) 1) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* a b) (* a b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* a b) (* a b))))) * * * * [misc]progress: [ 21 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (+ (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (sqr a)) (cube (* b b))) (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a)))) (- (cube (sqr a)) (cube (* b b)))) (* (* (+ (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (sqr (* 3 a)))) (* (* (sqr a) (- 1 (cube a))) (+ (* 3 a) 1))) (sqr (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))))) 4)) * [exit]simplify: Simplified to (+ (* (* (- (cube (sqr a)) (cube (* b b))) (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a)))) (- (cube (sqr a)) (cube (* b b)))) (* (* (+ (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (sqr (* 3 a)))) (* (* (sqr a) (- 1 (cube a))) (+ (* 3 a) 1))) (sqr (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))))) 4)) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (* (* (- (* (* b b) (* b b)) (- (* (* a b) (* a b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (* a b) (* a b)) (* (sqr a) (sqr a))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))) * [exit]simplify: Simplified to (* (* (- (* (* b b) (* b b)) (- (* (* a b) (* a b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (* a b) (* a b)) (* (sqr a) (sqr a))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))) * * * * [misc]progress: [ 22 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (+ (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) 4) (+ (* (+ (sqr (* 3 a)) (* 3 a)) (* (- 1 (sqr a)) (sqr a))) (+ (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a)))) (* (- 1 (sqr a)) (sqr a))))) (* (* (* (- 1 a) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) 4) (+ (* (+ (sqr (* 3 a)) (* 3 a)) (* (- 1 (sqr a)) (sqr a))) (+ (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a)))) (* (- 1 (sqr a)) (sqr a))))) (* (* (* (- 1 a) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* 3 a)) (+ (* 3 a) 1)) (- 1 a)) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (sqr (* a b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (sqr (* a b))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* 3 a)) (+ (* 3 a) 1)) (- 1 a)) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (sqr (* a b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (sqr (* a b))))) * * * * [misc]progress: [ 23 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (+ (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (+ (* (- (sqr (cube a)) (sqr (cube b))) (* (- (sqr (cube a)) (sqr (cube b))) (* (- 1 a) (+ (* 3 a) 1)))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (+ (* (* (* 4 (sqr a)) (- 1 (sqr a))) (+ (* 3 a) 1)) (* (* (* (* b b) (- 1 a)) 4) (- 1 (sqr (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (- (sqr (cube a)) (sqr (cube b))) (* (- (sqr (cube a)) (sqr (cube b))) (* (- 1 a) (+ (* 3 a) 1)))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (+ (* (* (* 4 (sqr a)) (- 1 (sqr a))) (+ (* 3 a) 1)) (* (* (* (* b b) (- 1 a)) 4) (- 1 (sqr (* 3 a))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (- 1 a) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (* (* (* b b) (+ b a)) (- b a))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (+ (* (sqr a) (sqr a)) (* (* (* b b) (+ b a)) (- b a)))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (* (* (* b b) (+ b a)) (- b a))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (+ (* (sqr a) (sqr a)) (* (* (* b b) (+ b a)) (- b a)))) * * * * [misc]progress: [ 24 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (287 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (+ (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (+ (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (* b b) (- 1 (* a 3))) (- (* (* b b) (- 1 (* a 3))) (* (sqr a) (+ 1 a))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (* b b) (- 1 (* a 3))) (- (* (* b b) (- 1 (* a 3))) (* (sqr a) (+ 1 a))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * * * * [misc]progress: [ 25 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (- (* b b) (sqr a)) (* b b)) (* (sqr a) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (- (* b b) (sqr a)) (* b b)) (* (sqr a) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 26 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (sqr (- (sqr a) (* b b)))) (+ (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))) (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (- (sqr a) (- a 1))) (sqr (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))) * [exit]simplify: Simplified to (+ (* (* 4 (sqr (- (sqr a) (* b b)))) (+ (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))) (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (- (sqr a) (- a 1))) (sqr (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))) * [enter]simplify: Simplifying (* (sqr (- (sqr a) (sqr b))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (* (* (+ (- (sqr a) a) 1) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) * [exit]simplify: Simplified to (* (* (+ (- (sqr a) a) 1) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) * * * * [misc]progress: [ 27 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (+ (* (sqr (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))) (+ (* (+ (sqr a) (- 1 a)) (* 3 a)) (+ (sqr a) (- 1 a)))) (* (+ (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a)))) (* (* (sqr a) (- 1 (cube a))) (+ 1 (* 3 a)))) (* 4 (sqr (- (sqr a) (* b b)))))) * [exit]simplify: Simplified to (+ (* (sqr (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))) (+ (* (+ (sqr a) (- 1 a)) (* 3 a)) (+ (sqr a) (- 1 a)))) (* (+ (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a)))) (* (* (sqr a) (- 1 (cube a))) (+ 1 (* 3 a)))) (* 4 (sqr (- (sqr a) (* b b)))))) * [enter]simplify: Simplifying (* (sqr (- (sqr a) (sqr b))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (* (* (- (sqr a) (- a 1)) (+ 1 (* 3 a))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * [exit]simplify: Simplified to (* (* (- (sqr a) (- a 1)) (+ 1 (* 3 a))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * * * * [misc]progress: [ 28 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (+ (* (+ (+ (* (- 1 (sqr a)) (sqr a)) (* (+ (sqr (* 3 a)) (* 3 a)) (* (- 1 (sqr a)) (sqr a)))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (* (- (sqr a) (* b b)) (- (sqr a) (* b b))) 4)) (* (sqr (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))) (* (- 1 a) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)))) * [exit]simplify: Simplified to (+ (* (+ (+ (* (- 1 (sqr a)) (sqr a)) (* (+ (sqr (* 3 a)) (* 3 a)) (* (- 1 (sqr a)) (sqr a)))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (* (- (sqr a) (* b b)) (- (sqr a) (* b b))) 4)) (* (sqr (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))) (* (- 1 a) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)))) * [enter]simplify: Simplifying (* (sqr (- (sqr a) (sqr b))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- 1 a)) (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a)))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- 1 a)) (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a)))) * * * * [misc]progress: [ 29 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (+ (* (sqr (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))) (* (- 1 a) (+ 1 (* a 3)))) (* (+ (* (- 1 (sqr (* a 3))) (* (* b b) (- 1 a))) (* (sqr a) (* (+ 1 (* a 3)) (- 1 (sqr a))))) (* (sqr (- (sqr a) (* b b))) 4))) * [exit]simplify: Simplified to (+ (* (sqr (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))) (* (- 1 a) (+ 1 (* a 3)))) (* (+ (* (- 1 (sqr (* a 3))) (* (* b b) (- 1 a))) (* (sqr a) (* (+ 1 (* a 3)) (- 1 (sqr a))))) (* (sqr (- (sqr a) (* b b))) 4))) * [enter]simplify: Simplifying (* (sqr (- (sqr a) (sqr b))) (* (- 1 a) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (- 1 a) (* (* a 3) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (- 1 a) (* (* a 3) (- 1 a)))) * * * * [misc]progress: [ 30 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (sqr a) (+ 1 a))) (* (- 1 (* a 3)) (* b b)))) (sqr (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (* (- (cube (* (sqr a) (+ 1 a))) (cube (* (- 1 (* a 3)) (* b b)))) (* 4 (sqr (- (sqr a) (* b b)))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (sqr a) (+ 1 a))) (* (- 1 (* a 3)) (* b b)))) (sqr (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (* (- (cube (* (sqr a) (+ 1 a))) (cube (* (- 1 (* a 3)) (* b b)))) (* 4 (sqr (- (sqr a) (* b b)))))) * [enter]simplify: Simplifying (* (sqr (- (sqr a) (sqr b))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * [exit]simplify: Simplified to (* (- (sqr (* (- 1 (* a 3)) (* b b))) (* (* (sqr a) (+ 1 a)) (- (* (- 1 (* a 3)) (* b b)) (* (sqr a) (+ 1 a))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * [exit]simplify: Simplified to (* (- (sqr (* (- 1 (* a 3)) (* b b))) (* (* (sqr a) (+ 1 a)) (- (* (- 1 (* a 3)) (* b b)) (* (sqr a) (+ 1 a))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * * * * [misc]progress: [ 31 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (431 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (sqr a) (* b b)) (- (sqr a) (* b b)))) (+ (* (sqr a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (- (* (sqr a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (sqr (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (sqr a) (* b b)) (- (sqr a) (* b b)))) (+ (* (sqr a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (- (* (sqr a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (sqr (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) * [enter]simplify: Simplifying (* (sqr (- (sqr a) (sqr b))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (sqr a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (sqr a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 32 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqr (+ (sqr a) (sqr b))) 3) (pow (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (- (sqr (cube (+ (sqr a) (* b b)))) (cube (+ (* (- 1 (* a 3)) (* (* 4 b) b)) (* (sqr a) (+ 4 (* a 4)))))) * [exit]simplify: Simplified to (- (sqr (cube (+ (sqr a) (* b b)))) (cube (+ (* (- 1 (* a 3)) (* (* 4 b) b)) (* (sqr a) (+ 4 (* a 4)))))) * [enter]simplify: Simplifying (+ (sqr (sqr (+ (sqr a) (sqr b)))) (- (sqr (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* 4 a) 4) (sqr a)) (* (- 1 (* 3 a)) (* (* 4 b) b))) (- (+ (* (+ (* 4 a) 4) (sqr a)) (* (- 1 (* 3 a)) (* (* 4 b) b))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) (* (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* 4 a) 4) (sqr a)) (* (- 1 (* 3 a)) (* (* 4 b) b))) (- (+ (* (+ (* 4 a) 4) (sqr a)) (* (- 1 (* 3 a)) (* (* 4 b) b))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) (* (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * * * * [misc]progress: [ 34 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqr (+ (sqr a) (sqr b)))) (sqr (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (* (- (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (+ (* (+ (* 4 a) 4) (sqr a)) (* (- 1 (* 3 a)) (* 4 (* b b))))) (+ (+ (* (+ (* 4 a) 4) (sqr a)) (* (- 1 (* 3 a)) (* 4 (* b b)))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (- (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (+ (* (+ (* 4 a) 4) (sqr a)) (* (- 1 (* 3 a)) (* 4 (* b b))))) (+ (+ (* (+ (* 4 a) 4) (sqr a)) (* (- 1 (* 3 a)) (* 4 (* b b)))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * [enter]simplify: Simplifying (- (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (- (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (+ (* (* a 4) (+ a (sqr a))) (* (- 1 (* a 3)) (* 4 (* b b))))) * [exit]simplify: Simplified to (- (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (+ (* (* a 4) (+ a (sqr a))) (* (- 1 (* a 3)) (* 4 (* b b))))) * * * * [misc]progress: [ 35 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqr (+ (sqr a) (sqr b))) (* 4 (* (sqr a) (+ 1 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (+ (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (* a 4) (+ a (sqr a)))) * [exit]simplify: Simplified to (+ (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (* a 4) (+ a (sqr a)))) * * * * [misc]progress: [ 36 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqr (+ (sqr a) (sqr b))) (* (* (sqr a) (+ 1 a)) 4)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (+ (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (+ 4 (* 4 a)) (sqr a))) * [exit]simplify: Simplified to (+ (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (+ 4 (* 4 a)) (sqr a))) * * * * [misc]progress: [ 37 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (sqr a) (+ 1 a))) (exp (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (pow (exp (sqr b)) (- 1 (* a 3))) (exp (* (+ a 1) (sqr a)))) * [exit]simplify: Simplified to (* (pow (exp (sqr b)) (- 1 (* a 3))) (exp (* (+ a 1) (sqr a)))) * * * * [misc]progress: [ 39 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (log (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (log (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 41 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (* (exp (* (+ a 1) (sqr a))) (pow (exp (* b b)) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (* (exp (* (+ a 1) (sqr a))) (pow (exp (* b b)) (- 1 (* 3 a)))) * * * * [misc]progress: [ 42 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (cbrt (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 43 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (cube (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (cube (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 44 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 45 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (cube (* 3 a))) (* (sqr b) (- (sqr a) (- a 1)))) (* (* (- 1 (cube a)) (sqr a)) (+ (sqr (* 3 a)) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (+ (* (- 1 (cube (* 3 a))) (* (sqr b) (- (sqr a) (- a 1)))) (* (* (- 1 (cube a)) (sqr a)) (+ (sqr (* 3 a)) (+ 1 (* 3 a))))) * [enter]simplify: Simplifying (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (* (+ (- (* a a) a) 1) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) * [exit]simplify: Simplified to (* (+ (- (* a a) a) 1) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) * * * * [misc]progress: [ 46 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * * [misc]simplify: iters left: 2 (367 enodes) * * [misc]simplify: iters left: 1 (494 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr a) (- a 1)) (sqr b)) (- 1 (* (* a 3) (* a 3)))) (+ (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (* 3 (cube a))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr a) (- a 1)) (sqr b)) (- 1 (* (* a 3) (* a 3)))) (+ (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (* 3 (cube a))))) * [enter]simplify: Simplifying (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) * [exit]simplify: Simplified to (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) * * * * [misc]progress: [ 47 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr b) (- 1 a)) (- 1 (cube (* 3 a)))) (* (* (sqr a) (- 1 (sqr a))) (+ (* (* 3 a) (* 3 a)) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (+ (* (* (sqr b) (- 1 a)) (- 1 (cube (* 3 a)))) (* (* (sqr a) (- 1 (sqr a))) (+ (* (* 3 a) (* 3 a)) (+ (* 3 a) 1)))) * [enter]simplify: Simplifying (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (* (- 1 a) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) * [exit]simplify: Simplified to (* (- 1 a) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) * * * * [misc]progress: [ 48 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (* (+ 1 (* a 3)) (+ (* (* (sqr b) (- 1 a)) (- 1 (* a 3))) (* (sqr a) (- 1 (sqr a))))) * [exit]simplify: Simplified to (* (+ 1 (* a 3)) (+ (* (* (sqr b) (- 1 a)) (- 1 (* a 3))) (* (sqr a) (- 1 (sqr a))))) * [enter]simplify: Simplifying (* (- 1 a) (+ 1 (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (- 1 a) (+ (* 3 a) 1)) * [exit]simplify: Simplified to (* (- 1 a) (+ (* 3 a) 1)) * * * * [misc]progress: [ 49 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (* b b)))) * [exit]simplify: Simplified to (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (* b b)))) * [enter]simplify: Simplifying (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (+ (* (- (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) * [exit]simplify: Simplified to (+ (* (- (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) * * * * [misc]progress: [ 51 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * [exit]simplify: Simplified to (* (- (* (+ a 1) (sqr a)) (* (sqr b) (- 1 (* a 3)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) * [exit]simplify: Simplified to (* (- (* (+ a 1) (sqr a)) (* (sqr b) (- 1 (* a 3)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) * [enter]simplify: Simplifying (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) * * * * [misc]progress: [ 52 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr a) (+ 1 a)) (* (sqr b) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ (* (+ a 1) (sqr a)) (* b b)) * [exit]simplify: Simplified to (+ (* (+ a 1) (sqr a)) (* b b)) * * * * [misc]progress: [ 53 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr a) (+ 1 a)) (* 1 (sqr b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ (* (+ a 1) (sqr a)) (* b b)) * [exit]simplify: Simplified to (+ (* (+ a 1) (sqr a)) (* b b)) * * * * [misc]progress: [ 54 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr a) a) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (* a 3)) (* b b)) (cube a)) * [exit]simplify: Simplified to (+ (* (- 1 (* a 3)) (* b b)) (cube a)) * * * * [misc]progress: [ 55 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a (sqr a)) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (* a 3)) (* b b)) (cube a)) * [exit]simplify: Simplified to (+ (* (- 1 (* a 3)) (* b b)) (cube a)) * * * * [misc]progress: [ 56 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) (- 1 (* 3 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (- 1 (* a 3)) (sqr b)) * [exit]simplify: Simplified to (* (- 1 (* a 3)) (sqr b)) * * * * [misc]progress: [ 58 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqr b)) (log (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (+ (+ (log b) (log b)) (log (- 1 (* 3 a)))) * [exit]simplify: Simplified to (+ (+ (log b) (log b)) (log (- 1 (* 3 a)))) * * * * [misc]progress: [ 60 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (log (* (- 1 (* a 3)) (sqr b))) * [exit]simplify: Simplified to (log (* (- 1 (* a 3)) (sqr b))) * * * * [misc]progress: [ 61 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (pow (exp (sqr b)) (- 1 (* a 3))) * [exit]simplify: Simplified to (pow (exp (sqr b)) (- 1 (* a 3))) * * * * [misc]progress: [ 62 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sqr b)) (cube (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (cube (- 1 (* 3 a))) (* (cube b) (cube b))) * [exit]simplify: Simplified to (* (cube (- 1 (* 3 a))) (* (cube b) (cube b))) * * * * [misc]progress: [ 63 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* a 3)) (sqr b))) * [exit]simplify: Simplified to (cbrt (* (- 1 (* a 3)) (sqr b))) * * * * [misc]progress: [ 64 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (cube (* (- 1 (* a 3)) (sqr b))) * [exit]simplify: Simplified to (cube (* (- 1 (* a 3)) (sqr b))) * * * * [misc]progress: [ 65 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqr b)) (cbrt (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* 3 a))) (cbrt (sqr b))) * [exit]simplify: Simplified to (* (cbrt (- 1 (* 3 a))) (cbrt (sqr b))) * * * * [misc]progress: [ 66 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (* (- 1 (* a 3)) (sqr b))) * [exit]simplify: Simplified to (sqrt (* (- 1 (* a 3)) (sqr b))) * * * * [misc]progress: [ 67 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* b (sqrt (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* b (sqrt (- 1 (* 3 a)))) * [exit]simplify: Simplified to (* b (sqrt (- 1 (* 3 a)))) * * * * [misc]progress: [ 68 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (sqr b) * [exit]simplify: Simplified to (sqr b) * [enter]simplify: Simplifying (* (sqr b) (- (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (* b (- b)) (* 3 a)) * [exit]simplify: Simplified to (* (* b (- b)) (* 3 a)) * * * * [misc]progress: [ 70 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (sqr b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* b b) * [exit]simplify: Simplified to (* b b) * [enter]simplify: Simplifying (* (- (* 3 a)) (sqr b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* b (* (* 3 b) (- a))) * [exit]simplify: Simplified to (* b (* (* 3 b) (- a))) * * * * [misc]progress: [ 71 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (sqr b) * [exit]simplify: Simplified to (sqr b) * * * * [misc]progress: [ 72 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* b (- 1 (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* b (- 1 (* 3 a))) * [exit]simplify: Simplified to (* b (- 1 (* 3 a))) * * * * [misc]progress: [ 73 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) (- 1 (* 3 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (- 1 (* a 3)) (sqr b)) * [exit]simplify: Simplified to (* (- 1 (* a 3)) (sqr b)) * * * * [misc]progress: [ 74 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (- 1 (cube (* 3 a))) (sqr b)) * [exit]simplify: Simplified to (* (- 1 (cube (* 3 a))) (sqr b)) * * * * [misc]progress: [ 75 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) (- (sqr 1) (sqr (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (* (- 1 (sqr (* 3 a))) (sqr b)) * [exit]simplify: Simplified to (* (- 1 (sqr (* 3 a))) (sqr b)) * * * * [misc]progress: [ 76 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (+ (log (+ (sqr a) (* b b))) (log (+ (sqr a) (* b b)))) * [exit]simplify: Simplified to (+ (log (+ (sqr a) (* b b))) (log (+ (sqr a) (* b b)))) * * * * [misc]progress: [ 80 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (exp (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b)))) * [exit]simplify: Simplified to (exp (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b)))) * * * * [misc]progress: [ 81 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b)))) * [exit]simplify: Simplified to (cbrt (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b)))) * * * * [misc]progress: [ 82 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (cube (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b)))) * [exit]simplify: Simplified to (cube (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b)))) * * * * [misc]progress: [ 83 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (fabs (+ (sqr a) (* b b))) * [exit]simplify: Simplified to (fabs (+ (sqr a) (* b b))) * * * * [misc]progress: [ 84 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (+ (sqr a) (sqr b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) * [exit]simplify: Simplified to (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) * * * * [misc]progress: [ 85 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (+ (sqr a) (sqr b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) * [exit]simplify: Simplified to (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))) * * * * [misc]progress: [ 86 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (* (- (cube a) (cube b)) (+ (cube a) (cube b))) (* (- (cube a) (cube b)) (+ (cube a) (cube b)))) * [exit]simplify: Simplified to (* (* (- (cube a) (cube b)) (+ (cube a) (cube b))) (* (- (cube a) (cube b)) (+ (cube a) (cube b)))) * [enter]simplify: Simplifying (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr a) (sqr a)) (* (- b a) (* (* b b) (+ b a)))) (+ (* (sqr a) (sqr a)) (* (- b a) (* (* b b) (+ b a))))) * [exit]simplify: Simplified to (* (+ (* (sqr a) (sqr a)) (* (- b a) (* (* b b) (+ b a)))) (+ (* (sqr a) (sqr a)) (* (- b a) (* (* b b) (+ b a))))) * * * * [misc]progress: [ 87 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- (sqr (sqr a)) (sqr (sqr b)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (sqr (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) * [exit]simplify: Simplified to (sqr (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) * [enter]simplify: Simplifying (sqr (- (sqr a) (sqr b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) * [exit]simplify: Simplified to (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) * * * * [misc]progress: [ 88 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 89 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 2 1 2) * [misc]approximate: Taking taylor expansion of (* (sqr b) (sqr a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr b) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 0 (sqr a)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (sqr a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr a)))) into (sqr a) * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (sqr (/ 1 b)) (sqr (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (sqr a))) into (/ 1 (sqr a)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (sqr a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) into (* (sqr b) (sqr a)) * [misc]approximate: Taking taylor expansion of (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (sqr a))) into (/ 1 (sqr a)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (sqr a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) into (* (sqr b) (sqr a)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of (exp (* 4 (log b))) in a * [misc]taylor: Taking taylor expansion of (* 4 (log b)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* 4 (log b)) into (* 4 (log b)) * [misc]backup-simplify: Simplify (exp (* 4 (log b))) into (pow b 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (sqr b) (sqr a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (sqr b) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of (exp (* 4 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 4 (log a)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 4 (log a)) into (* 4 (log a)) * [misc]backup-simplify: Simplify (exp (* 4 (log a))) into (pow a 4) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of (exp (* 4 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 4 (log a)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 4 (log a)) into (* 4 (log a)) * [misc]backup-simplify: Simplify (exp (* 4 (log a))) into (pow a 4) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 0 (sqr a)) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (+ 1 a) into (+ 1 a) * [misc]backup-simplify: Simplify (* (sqr a) (+ 1 a)) into (* (sqr a) (+ 1 a)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 a) into (* 3 a) * [misc]backup-simplify: Simplify (- (* 3 a)) into (- (* 3 a)) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 a))) into (- 1 (* 3 a)) * [misc]backup-simplify: Simplify (* 0 (- 1 (* 3 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr a) (+ 1 a)) 0) into (+ (pow a 3) (sqr a)) * [misc]backup-simplify: Simplify (* 4 (+ (pow a 3) (sqr a))) into (* 4 (+ (pow a 3) (sqr a))) * [misc]backup-simplify: Simplify (+ (pow a 4) (* 4 (+ (pow a 3) (sqr a)))) into (+ (* 4 (sqr a)) (+ (* 4 (pow a 3)) (pow a 4))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (sqr a)) (+ (* 4 (pow a 3)) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (* 4 (sqr a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (pow a 3)) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 4 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (sqr a))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (log a))) (+ (* (/ (pow 0 1) 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 (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr a) 0) (* 0 (+ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (- 1 (* 3 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (+ (pow a 3) (sqr a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr a)))) into (sqr a) * [misc]backup-simplify: Simplify (+ (* 2 (sqr a)) (+ (* 0 0) (* 0 0))) into (* 2 (sqr a)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (sqr a)) 0) into (* 2 (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr a))) into (* 2 (sqr a)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr a) 0) (+ (* 0 0) (* 0 (+ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (- 1 (* 3 a))))) into (- 1 (* 3 a)) * [misc]backup-simplify: Simplify (+ 0 (- 1 (* 3 a))) into (- 1 (* 3 a)) * [misc]backup-simplify: Simplify (+ (* 4 (- 1 (* 3 a))) (+ (* 0 0) (* 0 (+ (pow a 3) (sqr a))))) into (- 4 (* 12 a)) * [misc]backup-simplify: Simplify (+ (* 2 (sqr a)) (- 4 (* 12 a))) into (- (+ 4 (* 2 (sqr a))) (* 12 a)) * [misc]taylor: Taking taylor expansion of (- (+ 4 (* 2 (sqr a))) (* 12 a)) in a * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (sqr a))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (sqr a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 a) in a * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (* 12 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (+ (* 0 0) (* 0 0))) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (sqr a)) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (log a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 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 (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (- 1 (* 3 a)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 (- 1 (* 3 a))) (+ (* 0 0) (* 0 (+ (pow a 3) (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 12 1) (* 0 0)) into 12 * [misc]backup-simplify: Simplify (- 12) into -12 * [misc]backup-simplify: Simplify (+ 0 -12) into -12 * [misc]backup-simplify: Simplify -12 into -12 * [misc]backup-simplify: Simplify (+ (* -12 (* a (sqr b))) (+ (* 4 (sqr (* a 1))) (* 4 (sqr (* 1 b))))) into (- (+ (* 4 (sqr b)) (* 4 (sqr a))) (* 12 (* (sqr b) a))) * [misc]approximate: Taking taylor expansion of (+ (+ (pow (/ 1 b) 4) (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (pow (/ 1 a) 4))) (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 b) 4) (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (pow (/ 1 a) 4))) (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (log (/ 1 b)) into (log (/ 1 b)) * [misc]backup-simplify: Simplify (* 4 (log (/ 1 b))) into (* 4 (log (/ 1 b))) * [misc]backup-simplify: Simplify (exp (* 4 (log (/ 1 b)))) into (pow (/ 1 b) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (* 4 (- (log a))) into (* -4 (log a)) * [misc]backup-simplify: Simplify (exp (* -4 (log a))) into (pow a -4) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 b) 4) (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (pow (/ 1 a) 4))) (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (* 4 (- (log b))) into (* -4 (log b)) * [misc]backup-simplify: Simplify (exp (* -4 (log b))) into (pow b -4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (log (/ 1 a)) into (log (/ 1 a)) * [misc]backup-simplify: Simplify (* 4 (log (/ 1 a))) into (* 4 (log (/ 1 a))) * [misc]backup-simplify: Simplify (exp (* 4 (log (/ 1 a)))) into (pow (/ 1 a) 4) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 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 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 b) 4) (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (pow (/ 1 a) 4))) (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (* 4 (- (log b))) into (* -4 (log b)) * [misc]backup-simplify: Simplify (exp (* -4 (log b))) into (pow b -4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (log (/ 1 a)) into (log (/ 1 a)) * [misc]backup-simplify: Simplify (* 4 (log (/ 1 a))) into (* 4 (log (/ 1 a))) * [misc]backup-simplify: Simplify (exp (* 4 (log (/ 1 a)))) into (pow (/ 1 a) 4) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 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 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (sqr a))) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (sqr a))) into (/ 2 (sqr a)) * [misc]backup-simplify: Simplify (+ (/ 2 (sqr a)) 0) into (* 2 (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (sqr a)))) into (* 2 (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ 1 a)) into (/ 3 a) * [misc]backup-simplify: Simplify (- (/ 3 a)) into (- (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (- 1 (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0 (- 1 (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 4 (- 1 (* 3 (/ 1 a)))) into (* 4 (- 1 (* 3 (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (sqr a))) (* 4 (- 1 (* 3 (/ 1 a))))) into (- (+ 4 (* 2 (/ 1 (sqr a)))) (* 12 (/ 1 a))) * [misc]taylor: Taking taylor expansion of (- (+ 4 (* 2 (/ 1 (sqr a)))) (* 12 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (sqr a)))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) 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) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- 1 (* 3 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (- 1 (* 3 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (pow (/ 1 a) 4)) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ (pow b -4) (/ 1 (pow a 4))) into (+ (pow b -4) (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 a)) into (+ 1 (/ 1 a)) * [misc]backup-simplify: Simplify (* (/ 1 (sqr a)) (+ 1 (/ 1 a))) into (/ (+ 1 (/ 1 a)) (sqr a)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (/ (+ 1 (/ 1 a)) (sqr a)) 0) into (+ (/ 1 (pow a 3)) (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ (* 4 (+ (/ 1 (pow a 3)) (/ 1 (sqr a)))) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a)))))) into (+ (* 4 (/ 1 (pow a 3))) (* 4 (/ 1 (sqr a)))) * [misc]backup-simplify: Simplify (+ (+ (pow b -4) (/ 1 (pow a 4))) (+ (* 4 (/ 1 (pow a 3))) (* 4 (/ 1 (sqr a))))) into (+ (pow b -4) (+ (* 4 (/ 1 (pow a 3))) (+ (/ 1 (pow a 4)) (* 4 (/ 1 (sqr a)))))) * [misc]taylor: Taking taylor expansion of (+ (pow b -4) (+ (* 4 (/ 1 (pow a 3))) (+ (/ 1 (pow a 4)) (* 4 (/ 1 (sqr a)))))) in a * [misc]taylor: Taking taylor expansion of (pow b -4) in a * [misc]taylor: Taking taylor expansion of (exp (* -4 (log b))) in a * [misc]taylor: Taking taylor expansion of (* -4 (log b)) in a * [misc]taylor: Taking taylor expansion of -4 in a * [misc]backup-simplify: Simplify -4 into -4 * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* -4 (log b)) into (* -4 (log b)) * [misc]backup-simplify: Simplify (exp (* -4 (log b))) into (pow b -4) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 3))) (+ (/ 1 (pow a 4)) (* 4 (/ 1 (sqr a))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow a 4)) (* 4 (/ 1 (sqr a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (sqr a))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) 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 (* 12 1) into 12 * [misc]backup-simplify: Simplify (- 12) into -12 * [misc]backup-simplify: Simplify (+ 0 -12) into -12 * [misc]backup-simplify: Simplify -12 into -12 * [misc]backup-simplify: Simplify (+ (* -12 (* (/ 1 (/ 1 a)) (/ 1 (sqr (/ 1 b))))) (+ (* 4 (pow (* (/ 1 (/ 1 a)) 1) 3)) (* 2 (sqr (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))))) into (- (+ (* 4 (pow a 3)) (* 2 (* (sqr b) (sqr a)))) (* 12 (* (sqr b) a))) * [misc]approximate: Taking taylor expansion of (+ (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (pow (/ 1 (- a)) 4))) (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (pow (/ 1 (- a)) 4))) (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (log (/ -1 b)) into (log (/ -1 b)) * [misc]backup-simplify: Simplify (* 4 (log (/ -1 b))) into (* 4 (log (/ -1 b))) * [misc]backup-simplify: Simplify (exp (* 4 (log (/ -1 b)))) into (pow (/ -1 b) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (* 4 (- (log -1) (log a))) into (* 4 (- (log -1) (log a))) * [misc]backup-simplify: Simplify (exp (* 4 (- (log -1) (log a)))) into (exp (* 4 (- (log -1) (log a)))) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (+ (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (pow (/ 1 (- a)) 4))) (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 4 (- (log -1) (log b))) into (* 4 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 4 (- (log -1) (log b)))) into (exp (* 4 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (log (/ -1 a)) into (log (/ -1 a)) * [misc]backup-simplify: Simplify (* 4 (log (/ -1 a))) into (* 4 (log (/ -1 a))) * [misc]backup-simplify: Simplify (exp (* 4 (log (/ -1 a)))) into (pow (/ -1 a) 4) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (pow (/ 1 (- a)) 4))) (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 4 (- (log -1) (log b))) into (* 4 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 4 (- (log -1) (log b)))) into (exp (* 4 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (log (/ -1 a)) into (log (/ -1 a)) * [misc]backup-simplify: Simplify (* 4 (log (/ -1 a))) into (* 4 (log (/ -1 a))) * [misc]backup-simplify: Simplify (exp (* 4 (log (/ -1 a)))) into (pow (/ -1 a) 4) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (sqr a))) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (sqr a))) into (/ 2 (sqr a)) * [misc]backup-simplify: Simplify (+ (/ 2 (sqr a)) 0) into (* 2 (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (sqr a)))) into (* 2 (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ -1 a)) into (/ -3 a) * [misc]backup-simplify: Simplify (- (/ -3 a)) into (* 3 (/ 1 a)) * [misc]backup-simplify: Simplify (+ 1 (* 3 (/ 1 a))) into (+ 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (+ 1 (* 3 (/ 1 a)))) into (+ 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0 (+ 1 (* 3 (/ 1 a)))) into (+ 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 4 (+ 1 (* 3 (/ 1 a)))) into (* 4 (+ 1 (* 3 (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (sqr a))) (* 4 (+ 1 (* 3 (/ 1 a))))) into (+ 4 (+ (* 12 (/ 1 a)) (* 2 (/ 1 (sqr a))))) * [misc]taylor: Taking taylor expansion of (+ 4 (+ (* 12 (/ 1 a)) (* 2 (/ 1 (sqr a))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ 1 a)) (* 2 (/ 1 (sqr a)))) in a * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (sqr a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (sqr a)))) 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ -1 a))) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ 1 (* 3 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (+ 1 (* 3 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (pow (/ -1 a) 4)) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ (exp (* 4 (- (log -1) (log b)))) (/ 1 (pow a 4))) into (+ (exp (* 4 (- (log -1) (log b)))) (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (+ 1 (/ -1 a)) into (- 1 (/ 1 a)) * [misc]backup-simplify: Simplify (* (/ 1 (sqr a)) (- 1 (/ 1 a))) into (/ (- 1 (/ 1 a)) (sqr a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ -1 a)))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ 1 (* 3 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (/ (- 1 (/ 1 a)) (sqr a)) 0) into (- (/ 1 (sqr a)) (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (+ (* 4 (- (/ 1 (sqr a)) (/ 1 (pow a 3)))) (+ (* 0 0) (* 0 (+ 1 (* 3 (/ 1 a)))))) into (- (* 4 (/ 1 (sqr a))) (* 4 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (+ (+ (exp (* 4 (- (log -1) (log b)))) (/ 1 (pow a 4))) (- (* 4 (/ 1 (sqr a))) (* 4 (/ 1 (pow a 3))))) into (- (+ (exp (* 4 (- (log -1) (log b)))) (+ (/ 1 (pow a 4)) (* 4 (/ 1 (sqr a))))) (* 4 (/ 1 (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (+ (exp (* 4 (- (log -1) (log b)))) (+ (/ 1 (pow a 4)) (* 4 (/ 1 (sqr a))))) (* 4 (/ 1 (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (+ (exp (* 4 (- (log -1) (log b)))) (+ (/ 1 (pow a 4)) (* 4 (/ 1 (sqr a))))) in a * [misc]taylor: Taking taylor expansion of (exp (* 4 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 4 (- (log -1) (log b))) into (* 4 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 4 (- (log -1) (log b)))) into (exp (* 4 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow a 4)) (* 4 (/ 1 (sqr a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (sqr a))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) 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 (+ 12 0) into 12 * [misc]backup-simplify: Simplify (+ 0 12) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (+ (* 12 (* (/ 1 (/ 1 (- a))) (/ 1 (sqr (/ 1 (- b)))))) (+ (* -4 (pow (* (/ 1 (/ 1 (- a))) 1) 3)) (* 2 (sqr (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))))) into (- (+ (* 4 (pow a 3)) (* 2 (* (sqr b) (sqr a)))) (* 12 (* (sqr b) a))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (sqr b) 1) into (sqr b) * [misc]backup-simplify: Simplify (+ 0 (sqr b)) into (sqr b) * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) -3) (* 0 1)) into (- (* 3 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 3 (sqr b)))) into (- (* 3 (sqr b))) * [misc]taylor: Taking taylor expansion of (- (* 3 (sqr b))) in b * [misc]taylor: Taking taylor expansion of (* 3 (sqr b)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 -3) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1) (* 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 a) 3)) (+ (* 1 (sqr (* b 1))) (* 1 (sqr (* 1 a))))) into (+ (pow a 3) (+ (sqr b) (sqr a))) * [misc]approximate: Taking taylor expansion of (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 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 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* (/ 1 (sqr b)) -3) into (/ -3 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ -3 (sqr b))) into (- (* 3 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (- (* 3 (/ 1 (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 1) (* 0 -3)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* (/ 1 (/ 1 b)) 1))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 3)) (* -3 (* (/ 1 (sqr (/ 1 b))) (/ 1 (/ 1 a)))))) into (- (+ (pow a 3) (sqr b)) (* 3 (* (sqr b) a))) * [misc]approximate: Taking taylor expansion of (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (- -3) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* (/ 1 (sqr b)) 3) into (/ 3 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ 3 (sqr b))) into (* 3 (/ 1 (sqr b))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 1) (* 0 3)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* (/ 1 (/ 1 (- b))) 1))) (+ (* -1 (pow (* 1 (/ 1 (/ 1 (- a)))) 3)) (* 3 (* (/ 1 (sqr (/ 1 (- b)))) (/ 1 (/ 1 (- a))))))) into (- (+ (pow a 3) (sqr b)) (* 3 (* (sqr b) a))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 a) into (* 3 a) * [misc]backup-simplify: Simplify (- (* 3 a)) into (- (* 3 a)) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 a))) into (- 1 (* 3 a)) * [misc]backup-simplify: Simplify (* 0 (- 1 (* 3 a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (- 1 (* 3 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (- 1 (* 3 a))))) into (- 1 (* 3 a)) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (- 1 (* 3 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (* 3 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -3 (* a (sqr b))) (* 1 (sqr (* 1 b)))) into (- (sqr b) (* 3 (* (sqr b) a))) * [misc]approximate: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 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 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 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 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ 1 a)) into (/ 3 a) * [misc]backup-simplify: Simplify (- (/ 3 a)) into (- (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (- 1 (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) 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) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- 1 (* 3 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (* 3 (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 b))))) (* -3 (* (/ 1 (/ 1 a)) (/ 1 (sqr (/ 1 b)))))) into (- (sqr b) (* 3 (* (sqr b) a))) * [misc]approximate: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ -1 a)) into (/ -3 a) * [misc]backup-simplify: Simplify (- (/ -3 a)) into (* 3 (/ 1 a)) * [misc]backup-simplify: Simplify (+ 1 (* 3 (/ 1 a))) into (+ 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (+ 1 (* 3 (/ 1 a)))) into (+ 1 (* 3 (/ 1 a))) * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ -1 a))) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ 1 (* 3 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ -1 a)))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ 1 (* 3 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 1 (* 3 (/ 1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 1 (* 3 (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- b)))))) (* 3 (* (/ 1 (/ 1 (- a))) (/ 1 (sqr (/ 1 (- b))))))) into (- (sqr b) (* 3 (* (sqr b) a))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (pow b 4) (+ (* 2 0) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (- (+ (* (* (sqr b) 4) (- 1 (* 3 a))) (* (+ (* a 4) 4) (sqr a))) (- 1 (+ (pow a 4) (pow b 4)))) * * * * [misc]progress: [ 2 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (+ (+ (* (* 4 (sqr b)) (- 1 (* a 3))) (* (* a a) (+ (* a 4) 4))) (+ (+ (pow b 4) (- (pow a 4) 1)) (* 2 (* (sqr b) (* a a))))) * * * * [misc]progress: [ 3 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (+ (+ (* (* 4 (sqr b)) (- 1 (* a 3))) (* (* a a) (+ (* a 4) 4))) (+ (+ (pow b 4) (- (pow a 4) 1)) (* 2 (* (sqr b) (* a a))))) * * * * [misc]progress: [ 4 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (sqr b)) (* 4 (sqr a))) (* 12 (* (sqr b) a))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (- (* (* b b) (- 4 (* 12 a))) (- 1 (* 4 (* a a)))) * * * * [misc]progress: [ 5 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (pow a 3)) (* 2 (* (sqr b) (sqr a)))) (* 12 (* (sqr b) a))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (- (* (sqr b) (* a (- (* 2 a) 12))) (- 1 (* (* a a) (* a 4)))) * * * * [misc]progress: [ 6 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (pow a 3)) (* 2 (* (sqr b) (sqr a)))) (* 12 (* (sqr b) a))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (- (* (sqr b) (* a (- (* 2 a) 12))) (- 1 (* (* a a) (* a 4)))) * * * * [misc]progress: [ 7 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (pow a 3) (+ (sqr b) (sqr a))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (+ (+ (* 2 (sqr (* b a))) (+ (pow a 4) (- (pow b 4) 1))) (* 4 (+ (sqr b) (* (+ a 1) (* a a))))) * * * * [misc]progress: [ 8 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (- (+ (pow a 3) (sqr b)) (* 3 (* (sqr b) a))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (+ (* 4 (- (+ (sqr b) (cube a)) (* (sqr b) (* 3 a)))) (+ (* 2 (sqr (* b a))) (+ (pow a 4) (- (pow b 4) 1)))) * * * * [misc]progress: [ 9 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (- (+ (pow a 3) (sqr b)) (* 3 (* (sqr b) a))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (+ (* 4 (- (+ (sqr b) (cube a)) (* (sqr b) (* 3 a)))) (+ (* 2 (sqr (* b a))) (+ (pow a 4) (- (pow b 4) 1)))) * * * * [misc]progress: [ 10 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (- (sqr b) (* 3 (* (sqr b) a)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (417 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 1 a) (* a a)) (- (sqr b) (* (* a 3) (sqr b)))) 4) (+ (+ (pow a 4) (- (pow b 4) 1)) (* 2 (* (sqr b) (* a a))))) * * * * [misc]progress: [ 11 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (- (sqr b) (* 3 (* (sqr b) a)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (417 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 1 a) (* a a)) (- (sqr b) (* (* a 3) (sqr b)))) 4) (+ (+ (pow a 4) (- (pow b 4) 1)) (* 2 (* (sqr b) (* a a))))) * * * * [misc]progress: [ 12 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (- (sqr b) (* 3 (* (sqr b) a)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (417 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 1 a) (* a a)) (- (sqr b) (* (* a 3) (sqr b)))) 4) (+ (+ (pow a 4) (- (pow b 4) 1)) (* 2 (* (sqr b) (* a a))))) * * * * [misc]progress: [ 13 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [exit]simplify: Simplified to (* a b) * * * * [misc]progress: [ 14 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) (sqr a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* (* a a) (sqr b)) * [exit]simplify: Simplified to (* (* a a) (sqr b)) * * * * [misc]progress: [ 15 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqr b)) (log (sqr a))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (+ (+ (log b) (log b)) (+ (log a) (log a))) * [exit]simplify: Simplified to (+ (+ (log b) (log b)) (+ (log a) (log a))) * * * * [misc]progress: [ 17 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqr b) (sqr a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log (* (* a b) (* a b))) * [exit]simplify: Simplified to (log (* (* a b) (* a b))) * * * * [misc]progress: [ 18 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqr b) (sqr a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (exp (* (* a b) (* a b))) * [exit]simplify: Simplified to (exp (* (* a b) (* a b))) * * * * [misc]progress: [ 19 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sqr b)) (cube (sqr a))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqr (cube a)) (sqr (cube b))) * [exit]simplify: Simplified to (* (sqr (cube a)) (sqr (cube b))) * * * * [misc]progress: [ 20 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqr b) (sqr a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (cbrt (* (* a b) (* a b))) * [exit]simplify: Simplified to (cbrt (* (* a b) (* a b))) * * * * [misc]progress: [ 21 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sqr b) (sqr a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cube (* (* a b) (* a b))) * [exit]simplify: Simplified to (cube (* (* a b) (* a b))) * * * * [misc]progress: [ 22 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqr b)) (cbrt (sqr a))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (* a a)) (cbrt (sqr b))) * [exit]simplify: Simplified to (* (cbrt (* a a)) (cbrt (sqr b))) * * * * [misc]progress: [ 23 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqr b) (sqr a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (sqrt (* (* a b) (* a b))) * [exit]simplify: Simplified to (sqrt (* (* a b) (* a b))) * * * * [misc]progress: [ 24 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [exit]simplify: Simplified to (* a b) * * * * [misc]progress: [ 25 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) a) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (* b (* a b)) * [exit]simplify: Simplified to (* b (* a b)) * * * * [misc]progress: [ 27 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (sqr b) * [exit]simplify: Simplified to (sqr b) * * * * [misc]progress: [ 28 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* b (sqr a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (* (* a a) b) * [exit]simplify: Simplified to (* (* a a) b) * * * * [misc]progress: [ 29 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) (sqr a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* (* a a) (sqr b)) * [exit]simplify: Simplified to (* (* a a) (sqr b)) * * * * [misc]progress: [ 30 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (pow b 4)) (* (exp (* 2 (* (sqr b) (sqr a)))) (exp (pow a 4)))) (exp (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (* (* (pow (pow (exp 4) (sqr b)) (- 1 (* 3 a))) (pow (exp (sqr a)) (+ (* a 4) 4))) (* (exp (+ (pow b 4) (pow a 4))) (pow (exp 2) (* (sqr a) (sqr b))))) * [exit]simplify: Simplified to (* (* (pow (pow (exp 4) (sqr b)) (- 1 (* 3 a))) (pow (exp (sqr a)) (+ (* a 4) 4))) (* (exp (+ (pow b 4) (pow a 4))) (pow (exp 2) (* (sqr a) (sqr b))))) * * * * [misc]progress: [ 32 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (pow b 4)) (exp (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)))) (exp (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (* (* (pow (exp 2) (* (sqr a) (sqr b))) (exp (+ (pow b 4) (pow a 4)))) (* (pow (exp (sqr a)) (+ (* a 4) 4)) (pow (pow (exp 4) (sqr b)) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (pow (exp 2) (* (sqr a) (sqr b))) (exp (+ (pow b 4) (pow a 4)))) (* (pow (exp (sqr a)) (+ (* a 4) 4)) (pow (pow (exp 4) (sqr b)) (- 1 (* 3 a))))) * * * * [misc]progress: [ 33 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)))) (exp (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (exp (+ (+ (* (* a a) (+ 4 (* a 4))) (* (* b (* 4 b)) (- 1 (* 3 a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (sqr b) (* a a)))))) * [exit]simplify: Simplified to (exp (+ (+ (* (* a a) (+ 4 (* a 4))) (* (* b (* 4 b)) (- 1 (* 3 a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (sqr b) (* a a)))))) * * * * [misc]progress: [ 34 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (log (+ (+ (* (- 1 (* a 3)) (* b (* 4 b))) (+ (pow a 4) (pow b 4))) (* (* a a) (+ (* b (* b 2)) (+ 4 (* a 4)))))) * [exit]simplify: Simplified to (log (+ (+ (* (- 1 (* a 3)) (* b (* 4 b))) (+ (pow a 4) (pow b 4))) (* (* a a) (+ (* b (* b 2)) (+ 4 (* a 4)))))) * * * * [misc]progress: [ 36 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * * [misc]simplify: iters left: 1 (468 enodes) * [exit]simplify: Simplified to (* (* (pow (pow (exp 4) (sqr b)) (- 1 (* a 3))) (pow (exp (* a a)) (+ (* a 4) 4))) (* (exp (+ (pow a 4) (pow b 4))) (pow (exp 2) (* (sqr b) (* a a))))) * [exit]simplify: Simplified to (* (* (pow (pow (exp 4) (sqr b)) (- 1 (* a 3))) (pow (exp (* a a)) (+ (* a 4) 4))) (* (exp (+ (pow a 4) (pow b 4))) (pow (exp 2) (* (sqr b) (* a a))))) * * * * [misc]progress: [ 37 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (cbrt (+ (+ (* (- 1 (* a 3)) (* b (* 4 b))) (+ (pow a 4) (pow b 4))) (* (* a a) (+ (* b (* b 2)) (+ 4 (* a 4)))))) * [exit]simplify: Simplified to (cbrt (+ (+ (* (- 1 (* a 3)) (* b (* 4 b))) (+ (pow a 4) (pow b 4))) (* (* a a) (+ (* b (* b 2)) (+ 4 (* a 4)))))) * * * * [misc]progress: [ 38 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (cube (+ (+ (+ (pow a 4) (pow b 4)) (* 2 (* (sqr b) (* a a)))) (+ (* (* a a) (+ 4 (* a 4))) (* (* b (* 4 b)) (- 1 (* a 3)))))) * [exit]simplify: Simplified to (cube (+ (+ (+ (pow a 4) (pow b 4)) (* 2 (* (sqr b) (* a a)))) (+ (* (* a a) (+ 4 (* a 4))) (* (* b (* 4 b)) (- 1 (* a 3)))))) * * * * [misc]progress: [ 39 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ (* (- 1 (* a 3)) (* b (* 4 b))) (+ (pow a 4) (pow b 4))) (* (* a a) (+ (* b (* b 2)) (+ 4 (* a 4)))))) * [exit]simplify: Simplified to (sqrt (+ (+ (* (- 1 (* a 3)) (* b (* 4 b))) (+ (pow a 4) (pow b 4))) (* (* a a) (+ (* b (* b 2)) (+ 4 (* a 4)))))) * * * * [misc]progress: [ 40 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (pow (pow b 4) 3) (pow (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)) 3)) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (+ (sqr (pow b 4)) (- (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))))) (* 4 (+ (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (cube a)) (* a a)) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (* (+ (* a a) (- 1 a)) (sqr b)) (- 1 (cube (* 3 a))))) 4) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* a a) (* (sqr b) 2)) (pow a 4)) (+ (* (* a a) (* (sqr b) 2)) (- (pow a 4) (pow b 4)))))) (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (* a a) (- 1 a))) (- (cube (pow b 4)) (cube (+ (* (* a a) (* (sqr b) 2)) (pow a 4)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (cube a)) (* a a)) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (* (+ (* a a) (- 1 a)) (sqr b)) (- 1 (cube (* 3 a))))) 4) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* a a) (* (sqr b) 2)) (pow a 4)) (+ (* (* a a) (* (sqr b) 2)) (- (pow a 4) (pow b 4)))))) (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (* a a) (- 1 a))) (- (cube (pow b 4)) (cube (+ (* (* a a) (* (sqr b) 2)) (pow a 4)))))) * [enter]simplify: Simplifying (* (+ (sqr (pow b 4)) (- (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (325 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* b (* b 2)) (sqr a)) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (sqr a)))) (* (pow b 4) (pow b 4))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (sqr a) (- 1 a)))) * [exit]simplify: Simplified to (* (+ (* (+ (* (* b (* b 2)) (sqr a)) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (sqr a)))) (* (pow b 4) (pow b 4))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (sqr a) (- 1 a)))) * * * * [misc]progress: [ 41 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (pow (pow b 4) 3) (pow (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)) 3)) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (+ (sqr (pow b 4)) (- (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))))) (* 4 (+ (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (- (cube (pow b 4)) (cube (+ (* 2 (* (* a a) (sqr b))) (pow a 4))))) (* (* 4 (+ (* (- 1 (sqr (* 3 a))) (* (- (* a a) (- a 1)) (sqr b))) (* (* (+ 1 (* 3 a)) (- 1 (cube a))) (* a a)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (* a a) (sqr b))) (pow a 4)) (+ (* 2 (* (* a a) (sqr b))) (- (pow a 4) (pow b 4))))))) * [exit]simplify: Simplified to (+ (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (- (cube (pow b 4)) (cube (+ (* 2 (* (* a a) (sqr b))) (pow a 4))))) (* (* 4 (+ (* (- 1 (sqr (* 3 a))) (* (- (* a a) (- a 1)) (sqr b))) (* (* (+ 1 (* 3 a)) (- 1 (cube a))) (* a a)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (* a a) (sqr b))) (pow a 4)) (+ (* 2 (* (* a a) (sqr b))) (- (pow a 4) (pow b 4))))))) * [enter]simplify: Simplifying (* (+ (sqr (pow b 4)) (- (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (310 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (+ (* (* (sqr a) (* b 2)) b) (- (pow a 4) (pow b 4))) (+ (* (* (sqr a) (* b 2)) b) (pow a 4))) (* (pow b 4) (pow b 4)))) * [exit]simplify: Simplified to (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (+ (* (* (sqr a) (* b 2)) b) (- (pow a 4) (pow b 4))) (+ (* (* (sqr a) (* b 2)) b) (pow a 4))) (* (pow b 4) (pow b 4)))) * * * * [misc]progress: [ 42 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (pow (pow b 4) 3) (pow (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)) 3)) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (+ (sqr (pow b 4)) (- (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))))) (* 4 (+ (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (+ (* (* (- 1 a) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (- (cube (pow b 4)) (cube (+ (* 2 (* (* a a) (sqr b))) (pow a 4))))) (* (- (* (+ (* 2 (* (* a a) (sqr b))) (pow a 4)) (+ (* 2 (* (* a a) (sqr b))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (* a a) (sqr b))) (- (pow a 4) (pow b 4))))) (* 4 (+ (* (* (* a a) (- 1 (* a a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (- 1 a) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (- (cube (pow b 4)) (cube (+ (* 2 (* (* a a) (sqr b))) (pow a 4))))) (* (- (* (+ (* 2 (* (* a a) (sqr b))) (pow a 4)) (+ (* 2 (* (* a a) (sqr b))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (* a a) (sqr b))) (- (pow a 4) (pow b 4))))) (* 4 (+ (* (* (* a a) (- 1 (* a a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (sqr b))))))) * [enter]simplify: Simplifying (* (+ (sqr (pow b 4)) (- (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (* (* b a) (* b a)) 2) (- (pow b 4) (pow a 4))) (+ (* (* (* b a) (* b a)) 2) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (- 1 a))) * [exit]simplify: Simplified to (* (+ (* (- (* (* (* b a) (* b a)) 2) (- (pow b 4) (pow a 4))) (+ (* (* (* b a) (* b a)) 2) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (- 1 a))) * * * * [misc]progress: [ 43 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (pow (pow b 4) 3) (pow (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)) 3)) (* (- 1 a) (+ 1 (* 3 a)))) (* (+ (sqr (pow b 4)) (- (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))))) (* 4 (+ (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (+ (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (- (cube (pow b 4)) (cube (+ (* (* (* 2 a) (* a b)) b) (pow a 4))))) (* (+ (* (- 1 (* (* 3 a) (* 3 a))) (* b (* (* 4 b) (- 1 a)))) (* (* (* a a) (- 1 (* a a))) (+ (* (* 3 4) a) 4))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (* (* (* 2 a) (* a b)) b) (pow a 4)))))) * [exit]simplify: Simplified to (+ (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (- (cube (pow b 4)) (cube (+ (* (* (* 2 a) (* a b)) b) (pow a 4))))) (* (+ (* (- 1 (* (* 3 a) (* 3 a))) (* b (* (* 4 b) (- 1 a)))) (* (* (* a a) (- 1 (* a a))) (+ (* (* 3 4) a) 4))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (* (* (* 2 a) (* a b)) b) (pow a 4)))))) * [enter]simplify: Simplifying (* (+ (sqr (pow b 4)) (- (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))))) (* (- 1 a) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* b a) (* b a)) 2) (pow a 4)) (+ (* (* (* b a) (* b a)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* b a) (* b a)) 2) (pow a 4)) (+ (* (* (* b a) (* b a)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) * * * * [misc]progress: [ 44 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (pow (pow b 4) 3) (pow (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)) 3)) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (+ (sqr (pow b 4)) (- (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))))) (* 4 (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (* (sqr b) (- 1 (* 3 a))) (- (* (sqr b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (- (cube (pow b 4)) (cube (+ (* (* (sqr b) 2) (* a a)) (pow a 4))))) (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) 4) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (sqr b) 2) (* a a)) (pow a 4)) (+ (* (* (sqr b) 2) (* a a)) (- (pow a 4) (pow b 4))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (* (sqr b) (- 1 (* 3 a))) (- (* (sqr b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (- (cube (pow b 4)) (cube (+ (* (* (sqr b) 2) (* a a)) (pow a 4))))) (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) 4) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (sqr b) 2) (* a a)) (pow a 4)) (+ (* (* (sqr b) 2) (* a a)) (- (pow a 4) (pow b 4))))))) * [enter]simplify: Simplifying (* (+ (sqr (pow b 4)) (- (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (sqr a) (sqr b)) 2) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* (sqr a) (sqr b)) 2))) (* (pow b 4) (pow b 4))) (- (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))) (* (* (sqr a) (+ a 1)) (- (* (sqr b) (- 1 (* a 3))) (* (sqr a) (+ a 1)))))) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (sqr a) (sqr b)) 2) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* (sqr a) (sqr b)) 2))) (* (pow b 4) (pow b 4))) (- (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))) (* (* (sqr a) (+ a 1)) (- (* (sqr b) (- 1 (* a 3))) (* (sqr a) (+ a 1)))))) * * * * [misc]progress: [ 45 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (pow (pow b 4) 3) (pow (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)) 3)) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (pow b 4)) (- (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* 2 (* (* a a) (sqr b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (sqr b))))) (* (pow b 4) (pow b 4))) (* (+ (* (* a a) (* (+ 1 a) 4)) (* (* 4 (sqr b)) (- 1 (* 3 a)))) (- (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b))))) (* (- (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b))) (- (cube (pow b 4)) (cube (+ (* 2 (* (* a a) (sqr b))) (pow a 4)))))) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* 2 (* (* a a) (sqr b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (sqr b))))) (* (pow b 4) (pow b 4))) (* (+ (* (* a a) (* (+ 1 a) 4)) (* (* 4 (sqr b)) (- 1 (* 3 a)))) (- (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b))))) (* (- (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b))) (- (cube (pow b 4)) (cube (+ (* 2 (* (* a a) (sqr b))) (pow a 4)))))) * [enter]simplify: Simplifying (* (+ (sqr (pow b 4)) (- (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (392 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (sqr a) (sqr b)) 2) (pow a 4)) (- (* (* (sqr a) (sqr b)) 2) (- (pow b 4) (pow a 4)))) (* (pow b 4) (pow b 4))) (- (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (sqr b)))) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (sqr a) (sqr b)) 2) (pow a 4)) (- (* (* (sqr a) (sqr b)) 2) (- (pow b 4) (pow a 4)))) (* (pow b 4) (pow b 4))) (- (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (sqr b)))) * * * * [misc]progress: [ 46 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (sqr (pow b 4)) (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (- (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (* (+ (sqr a) (- 1 a)) (sqr b)) (- 1 (cube (* 3 a)))))) (- (- (pow b 4) (* (* (sqr a) (* b 2)) b)) (pow a 4))) (* (- (* (pow b 4) (pow b 4)) (sqr (+ (* (* (sqr a) (* b 2)) b) (pow a 4)))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (sqr a) (- 1 a))))) * [exit]simplify: Simplified to (+ (* (* 4 (+ (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (* (+ (sqr a) (- 1 a)) (sqr b)) (- 1 (cube (* 3 a)))))) (- (- (pow b 4) (* (* (sqr a) (* b 2)) b)) (pow a 4))) (* (- (* (pow b 4) (pow b 4)) (sqr (+ (* (* (sqr a) (* b 2)) b) (pow a 4)))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (sqr a) (- 1 a))))) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* 2 (* (sqr b) (* a a)))) (* (+ (- (* a a) a) 1) (+ (+ (* 3 a) 1) (sqr (* 3 a))))) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* 2 (* (sqr b) (* a a)))) (* (+ (- (* a a) a) 1) (+ (+ (* 3 a) 1) (sqr (* 3 a))))) * * * * [misc]progress: [ 47 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (sqr (pow b 4)) (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (- (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (- (- (pow b 4) (* (* (sqr a) (sqr b)) 2)) (pow a 4)) (+ (* (* (- (sqr a) (- a 1)) (sqr b)) (- 1 (sqr (* 3 a)))) (* (sqr a) (* (- 1 (cube a)) (+ 1 (* 3 a)))))) 4) (* (- (* (pow b 4) (pow b 4)) (sqr (+ (* (* (sqr a) (sqr b)) 2) (pow a 4)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (+ (* (* (- (- (pow b 4) (* (* (sqr a) (sqr b)) 2)) (pow a 4)) (+ (* (* (- (sqr a) (- a 1)) (sqr b)) (- 1 (sqr (* 3 a)))) (* (sqr a) (* (- 1 (cube a)) (+ 1 (* 3 a)))))) 4) (* (- (* (pow b 4) (pow b 4)) (sqr (+ (* (* (sqr a) (sqr b)) 2) (pow a 4)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* b a) (* b a)))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* b a) (* b a)))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) * * * * [misc]progress: [ 48 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (sqr (pow b 4)) (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (- (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (+ (* (- (* (pow b 4) (pow b 4)) (sqr (+ (* (* (sqr a) (sqr b)) 2) (pow a 4)))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (- 1 a))) (* 4 (* (- (- (pow b 4) (* (* (sqr a) (sqr b)) 2)) (pow a 4)) (+ (* (* (sqr a) (- 1 (sqr a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (* (sqr b) (- 1 a)) (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (- (* (pow b 4) (pow b 4)) (sqr (+ (* (* (sqr a) (sqr b)) 2) (pow a 4)))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (- 1 a))) (* 4 (* (- (- (pow b 4) (* (* (sqr a) (sqr b)) 2)) (pow a 4)) (+ (* (* (sqr a) (- 1 (sqr a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (* (sqr b) (- 1 a)) (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * * [misc]simplify: iters left: 1 (437 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (* 2 (* (* b a) (* b a)))) (pow a 4)) (* (+ (sqr (* 3 a)) (+ (* 3 a) 1)) (- 1 a))) * [exit]simplify: Simplified to (* (- (- (pow b 4) (* 2 (* (* b a) (* b a)))) (pow a 4)) (* (+ (sqr (* 3 a)) (+ (* 3 a) 1)) (- 1 a))) * * * * [misc]progress: [ 49 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (sqr (pow b 4)) (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (- (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (+ (* (- (pow b 4) (+ (* (* a (* a 2)) (sqr b)) (pow a 4))) (+ (* (* (* (- 1 a) 4) (sqr b)) (- 1 (* (* a 3) (* a 3)))) (* (+ (* 4 (* a 3)) 4) (* (sqr a) (- 1 (sqr a)))))) (* (- (* (pow b 4) (pow b 4)) (sqr (+ (* (* a (* a 2)) (sqr b)) (pow a 4)))) (* (+ (* a 3) 1) (- 1 a)))) * [exit]simplify: Simplified to (+ (* (- (pow b 4) (+ (* (* a (* a 2)) (sqr b)) (pow a 4))) (+ (* (* (* (- 1 a) 4) (sqr b)) (- 1 (* (* a 3) (* a 3)))) (* (+ (* 4 (* a 3)) 4) (* (sqr a) (- 1 (sqr a)))))) (* (- (* (pow b 4) (pow b 4)) (sqr (+ (* (* a (* a 2)) (sqr b)) (pow a 4)))) (* (+ (* a 3) 1) (- 1 a)))) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (- 1 a) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (- 1 a)) (- (- (pow b 4) (* 2 (sqr (* b a)))) (pow a 4))) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (- 1 a)) (- (- (pow b 4) (* 2 (sqr (* b a)))) (pow a 4))) * * * * [misc]progress: [ 50 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (sqr (pow b 4)) (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (- (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (+ (* 4 (* (- (cube (* (sqr a) (+ a 1))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (- (pow b 4) (* (* (sqr a) (sqr b)) 2)) (pow a 4)))) (* (- (* (pow b 4) (pow b 4)) (sqr (+ (* (* (sqr a) (sqr b)) 2) (pow a 4)))) (+ (* (* (sqr b) (- 1 (* 3 a))) (- (* (sqr b) (- 1 (* 3 a))) (* (sqr a) (+ a 1)))) (sqr (* (sqr a) (+ a 1)))))) * [exit]simplify: Simplified to (+ (* 4 (* (- (cube (* (sqr a) (+ a 1))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (- (pow b 4) (* (* (sqr a) (sqr b)) 2)) (pow a 4)))) (* (- (* (pow b 4) (pow b 4)) (sqr (+ (* (* (sqr a) (sqr b)) 2) (pow a 4)))) (+ (* (* (sqr b) (- 1 (* 3 a))) (- (* (sqr b) (- 1 (* 3 a))) (* (sqr a) (+ a 1)))) (sqr (* (sqr a) (+ a 1)))))) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (* (- (pow b 4) (+ (pow a 4) (* 2 (* (sqr b) (* a a))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))))) * [exit]simplify: Simplified to (* (- (pow b 4) (+ (pow a 4) (* 2 (* (sqr b) (* a a))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))))) * * * * [misc]progress: [ 51 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (sqr (pow b 4)) (sqr (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (- (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (* (* (sqr a) (sqr b)) 2)) (pow a 4)) (* (- (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (sqr b))) (+ (+ (* (* (sqr a) (sqr b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* 4 (sqr b)) (- 1 (* 3 a))) (* (* (sqr a) (+ a 1)) 4))))) * [exit]simplify: Simplified to (* (- (- (pow b 4) (* (* (sqr a) (sqr b)) 2)) (pow a 4)) (* (- (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (sqr b))) (+ (+ (* (* (sqr a) (sqr b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* 4 (sqr b)) (- 1 (* 3 a))) (* (* (sqr a) (+ a 1)) 4))))) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (- (pow b 4) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (- (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (sqr b)))) * [exit]simplify: Simplified to (* (- (pow b 4) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (- (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (sqr b)))) * * * * [misc]progress: [ 52 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) 3) (pow (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (- (cube (+ (* 2 (* (sqr b) (* a a))) (+ (pow a 4) (pow b 4)))) (cube (+ (* (* 4 (sqr b)) (- 1 (* 3 a))) (* (+ 4 (* a 4)) (* a a))))) * [exit]simplify: Simplified to (- (cube (+ (* 2 (* (sqr b) (* a a))) (+ (pow a 4) (pow b 4)))) (cube (+ (* (* 4 (sqr b)) (- 1 (* 3 a))) (* (+ 4 (* a 4)) (* a a))))) * [enter]simplify: Simplifying (+ (sqr (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)))) (- (sqr (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 4 (* a 4)) (* a a)) (* (- 1 (* 3 a)) (* 4 (sqr b)))) (- (+ (* (+ 4 (* a 4)) (* a a)) (* (- 1 (* 3 a)) (* 4 (sqr b)))) (+ (* (* a a) (* (* b 2) b)) (+ (pow a 4) (pow b 4))))) (sqr (+ (* (* a a) (* (* b 2) b)) (+ (pow a 4) (pow b 4))))) * [exit]simplify: Simplified to (+ (* (+ (* (+ 4 (* a 4)) (* a a)) (* (- 1 (* 3 a)) (* 4 (sqr b)))) (- (+ (* (+ 4 (* a 4)) (* a a)) (* (- 1 (* 3 a)) (* 4 (sqr b)))) (+ (* (* a a) (* (* b 2) b)) (+ (pow a 4) (pow b 4))))) (sqr (+ (* (* a a) (* (* b 2) b)) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 54 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)))) (sqr (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (* (- (+ (* 2 (* (sqr b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (+ (* a 4) 4) (* a a)) (* (* 4 (sqr b)) (- 1 (* 3 a))))) (+ (+ (* 2 (* (sqr b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (+ (* a 4) 4) (* a a)) (* (* 4 (sqr b)) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (- (+ (* 2 (* (sqr b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (+ (* a 4) 4) (* a a)) (* (* 4 (sqr b)) (- 1 (* 3 a))))) (+ (+ (* 2 (* (sqr b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (+ (* a 4) 4) (* a a)) (* (* 4 (sqr b)) (- 1 (* 3 a)))))) * [enter]simplify: Simplifying (- (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (- (+ (+ (pow a 4) (pow b 4)) (* 2 (* (sqr b) (* a a)))) (+ (* (* a 4) (+ (* a a) a)) (* (* (* 4 b) b) (- 1 (* a 3))))) * [exit]simplify: Simplified to (- (+ (+ (pow a 4) (pow b 4)) (* 2 (* (sqr b) (* a a)))) (+ (* (* a 4) (+ (* a a) a)) (* (* (* 4 b) b) (- 1 (* a 3))))) * * * * [misc]progress: [ 55 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (* (sqr a) (+ 1 a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (+ 1 a) (* a a)) 4) (pow b 4)) (+ (pow a 4) (* 2 (* (sqr b) (* a a))))) * [exit]simplify: Simplified to (+ (+ (* (* (+ 1 a) (* a a)) 4) (pow b 4)) (+ (pow a 4) (* 2 (* (sqr b) (* a a))))) * * * * [misc]progress: [ 56 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* (* (sqr a) (+ 1 a)) 4)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (+ (+ (* (* a a) (+ (* a 4) 4)) (pow b 4)) (+ (pow a 4) (* (* (* 2 a) (sqr b)) a))) * [exit]simplify: Simplified to (+ (+ (* (* a a) (+ (* a 4) 4)) (pow b 4)) (+ (pow a 4) (* (* (* 2 a) (sqr b)) a))) * * * * [misc]progress: [ 57 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (* 2 (* (sqr b) (sqr a))) (pow a 4)) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (+ (+ (* (* a a) (* (* b b) 2)) (pow a 4)) (+ (* (+ (* a 4) 4) (* a a)) (* (* (* b 4) b) (- 1 (* a 3))))) * [exit]simplify: Simplified to (+ (+ (* (* a a) (* (* b b) 2)) (pow a 4)) (+ (* (+ (* a 4) 4) (* a a)) (* (* (* b 4) b) (- 1 (* a 3))))) * * * * [misc]progress: [ 58 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (sqr a) (+ 1 a))) (exp (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (pow (exp (sqr b)) (- 1 (* a 3))) (exp (* (+ a 1) (sqr a)))) * [exit]simplify: Simplified to (* (pow (exp (sqr b)) (- 1 (* a 3))) (exp (* (+ a 1) (sqr a)))) * * * * [misc]progress: [ 60 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (log (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (log (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 62 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (* (exp (* (+ a 1) (sqr a))) (pow (exp (* b b)) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (* (exp (* (+ a 1) (sqr a))) (pow (exp (* b b)) (- 1 (* 3 a)))) * * * * [misc]progress: [ 63 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (cbrt (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 64 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (cube (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (cube (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 65 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 66 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (cube (* 3 a))) (* (sqr b) (- (sqr a) (- a 1)))) (* (* (- 1 (cube a)) (sqr a)) (+ (sqr (* 3 a)) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (+ (* (- 1 (cube (* 3 a))) (* (sqr b) (- (sqr a) (- a 1)))) (* (* (- 1 (cube a)) (sqr a)) (+ (sqr (* 3 a)) (+ 1 (* 3 a))))) * [enter]simplify: Simplifying (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (* (+ (- (* a a) a) 1) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) * [exit]simplify: Simplified to (* (+ (- (* a a) a) 1) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) * * * * [misc]progress: [ 67 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * * [misc]simplify: iters left: 2 (367 enodes) * * [misc]simplify: iters left: 1 (494 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr a) (- a 1)) (sqr b)) (- 1 (* (* a 3) (* a 3)))) (+ (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (* 3 (cube a))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr a) (- a 1)) (sqr b)) (- 1 (* (* a 3) (* a 3)))) (+ (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (* 3 (cube a))))) * [enter]simplify: Simplifying (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) * [exit]simplify: Simplified to (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) * * * * [misc]progress: [ 68 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr b) (- 1 a)) (- 1 (cube (* 3 a)))) (* (* (sqr a) (- 1 (sqr a))) (+ (* (* 3 a) (* 3 a)) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (+ (* (* (sqr b) (- 1 a)) (- 1 (cube (* 3 a)))) (* (* (sqr a) (- 1 (sqr a))) (+ (* (* 3 a) (* 3 a)) (+ (* 3 a) 1)))) * [enter]simplify: Simplifying (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (* (- 1 a) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) * [exit]simplify: Simplified to (* (- 1 a) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) * * * * [misc]progress: [ 69 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (* (+ 1 (* a 3)) (+ (* (* (sqr b) (- 1 a)) (- 1 (* a 3))) (* (sqr a) (- 1 (sqr a))))) * [exit]simplify: Simplified to (* (+ 1 (* a 3)) (+ (* (* (sqr b) (- 1 a)) (- 1 (* a 3))) (* (sqr a) (- 1 (sqr a))))) * [enter]simplify: Simplifying (* (- 1 a) (+ 1 (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (- 1 a) (+ (* 3 a) 1)) * [exit]simplify: Simplified to (* (- 1 a) (+ (* 3 a) 1)) * * * * [misc]progress: [ 70 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (* b b)))) * [exit]simplify: Simplified to (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (* b b)))) * [enter]simplify: Simplifying (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (+ (* (- (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) * [exit]simplify: Simplified to (+ (* (- (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) * * * * [misc]progress: [ 72 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * [exit]simplify: Simplified to (* (- (* (+ a 1) (sqr a)) (* (sqr b) (- 1 (* a 3)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) * [exit]simplify: Simplified to (* (- (* (+ a 1) (sqr a)) (* (sqr b) (- 1 (* a 3)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) * [enter]simplify: Simplifying (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) * * * * [misc]progress: [ 73 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr a) (+ 1 a)) (* (sqr b) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ (* (+ a 1) (sqr a)) (* b b)) * [exit]simplify: Simplified to (+ (* (+ a 1) (sqr a)) (* b b)) * * * * [misc]progress: [ 74 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr a) (+ 1 a)) (* 1 (sqr b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ (* (+ a 1) (sqr a)) (* b b)) * [exit]simplify: Simplified to (+ (* (+ a 1) (sqr a)) (* b b)) * * * * [misc]progress: [ 75 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr a) a) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (* a 3)) (* b b)) (cube a)) * [exit]simplify: Simplified to (+ (* (- 1 (* a 3)) (* b b)) (cube a)) * * * * [misc]progress: [ 76 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a (sqr a)) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (* a 3)) (* b b)) (cube a)) * [exit]simplify: Simplified to (+ (* (- 1 (* a 3)) (* b b)) (cube a)) * * * * [misc]progress: [ 77 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) (- 1 (* 3 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (- 1 (* a 3)) (sqr b)) * [exit]simplify: Simplified to (* (- 1 (* a 3)) (sqr b)) * * * * [misc]progress: [ 79 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqr b)) (log (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (+ (+ (log b) (log b)) (log (- 1 (* 3 a)))) * [exit]simplify: Simplified to (+ (+ (log b) (log b)) (log (- 1 (* 3 a)))) * * * * [misc]progress: [ 81 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (log (* (- 1 (* a 3)) (sqr b))) * [exit]simplify: Simplified to (log (* (- 1 (* a 3)) (sqr b))) * * * * [misc]progress: [ 82 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (pow (exp (sqr b)) (- 1 (* a 3))) * [exit]simplify: Simplified to (pow (exp (sqr b)) (- 1 (* a 3))) * * * * [misc]progress: [ 83 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sqr b)) (cube (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (cube (- 1 (* 3 a))) (* (cube b) (cube b))) * [exit]simplify: Simplified to (* (cube (- 1 (* 3 a))) (* (cube b) (cube b))) * * * * [misc]progress: [ 84 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (* (- 1 (* a 3)) (sqr b))) * [exit]simplify: Simplified to (cbrt (* (- 1 (* a 3)) (sqr b))) * * * * [misc]progress: [ 85 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (cube (* (- 1 (* a 3)) (sqr b))) * [exit]simplify: Simplified to (cube (* (- 1 (* a 3)) (sqr b))) * * * * [misc]progress: [ 86 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqr b)) (cbrt (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* 3 a))) (cbrt (sqr b))) * [exit]simplify: Simplified to (* (cbrt (- 1 (* 3 a))) (cbrt (sqr b))) * * * * [misc]progress: [ 87 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (* (- 1 (* a 3)) (sqr b))) * [exit]simplify: Simplified to (sqrt (* (- 1 (* a 3)) (sqr b))) * * * * [misc]progress: [ 88 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* b (sqrt (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* b (sqrt (- 1 (* 3 a)))) * [exit]simplify: Simplified to (* b (sqrt (- 1 (* 3 a)))) * * * * [misc]progress: [ 89 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (sqr b) * [exit]simplify: Simplified to (sqr b) * [enter]simplify: Simplifying (* (sqr b) (- (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (* b (- b)) (* 3 a)) * [exit]simplify: Simplified to (* (* b (- b)) (* 3 a)) * * * * [misc]progress: [ 91 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (sqr b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* b b) * [exit]simplify: Simplified to (* b b) * [enter]simplify: Simplifying (* (- (* 3 a)) (sqr b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* b (* (* 3 b) (- a))) * [exit]simplify: Simplified to (* b (* (* 3 b) (- a))) * * * * [misc]progress: [ 92 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (sqr b) * [exit]simplify: Simplified to (sqr b) * * * * [misc]progress: [ 93 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* b (- 1 (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* b (- 1 (* 3 a))) * [exit]simplify: Simplified to (* b (- 1 (* 3 a))) * * * * [misc]progress: [ 94 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) (- 1 (* 3 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (- 1 (* a 3)) (sqr b)) * [exit]simplify: Simplified to (* (- 1 (* a 3)) (sqr b)) * * * * [misc]progress: [ 95 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (- 1 (cube (* 3 a))) (sqr b)) * [exit]simplify: Simplified to (* (- 1 (cube (* 3 a))) (sqr b)) * * * * [misc]progress: [ 96 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr b) (- (sqr 1) (sqr (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (* (- 1 (sqr (* 3 a))) (sqr b)) * [exit]simplify: Simplified to (* (- 1 (sqr (* 3 a))) (sqr b)) * * * * [misc]progress: [ 97 / 97 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) in b * [misc]taylor: Taking taylor expansion of (- (pow (sqr a) 3) (pow (sqr b) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (sqr a) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr a)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (log (sqr a)) into (log (sqr a)) * [misc]backup-simplify: Simplify (* 3 (log (sqr a))) into (* 3 (log (sqr a))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqr a)))) into (pow (sqr a) 3) * [misc]taylor: Taking taylor expansion of (pow (sqr b) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr b))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log b)) 0) into (* 2 (log b)) * [misc]backup-simplify: Simplify (* 3 (* 2 (log b))) into (* 6 (log b)) * [misc]backup-simplify: Simplify (exp (* 6 (log b))) into (pow b 6) * [misc]taylor: Taking taylor expansion of (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) in b * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) in b * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (sqr (sqr b)) (* (sqr a) (sqr b))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr a) (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (* (sqr a) (+ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr (* (sqr b) (- 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) in b * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (sqr (sqr b)) (* (sqr a) (sqr b))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr a) (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- (pow b 6)) into (- (pow b 6)) * [misc]backup-simplify: Simplify (+ (pow (sqr a) 3) (- (pow b 6))) into (- (pow a 6) (pow b 6)) * [misc]backup-simplify: Simplify (* (- (pow a 6) (pow b 6)) (- (pow a 6) (pow b 6))) into (sqr (- (pow a 6) (pow b 6))) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (+ 1 a) into (+ 1 a) * [misc]backup-simplify: Simplify (* (sqr a) (+ 1 a)) into (* (sqr a) (+ 1 a)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 a) into (* 3 a) * [misc]backup-simplify: Simplify (- (* 3 a)) into (- (* 3 a)) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 a))) into (- 1 (* 3 a)) * [misc]backup-simplify: Simplify (* 0 (- 1 (* 3 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr a) (+ 1 a)) 0) into (+ (pow a 3) (sqr a)) * [misc]backup-simplify: Simplify (* (sqr (- (pow a 6) (pow b 6))) (+ (pow a 3) (sqr a))) into (* (sqr (- (pow a 6) (pow b 6))) (+ (pow a 3) (sqr a))) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* (sqr a) (sqr a)) into (pow a 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sqr a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow a 4) 0) into (pow a 4) * [misc]backup-simplify: Simplify (* (pow a 4) (pow a 4)) into (pow a 8) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (+ 1 a) into (+ 1 a) * [misc]backup-simplify: Simplify (* (sqr a) (+ 1 a)) into (* (sqr a) (+ 1 a)) * [misc]backup-simplify: Simplify (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) into (* (pow a 4) (sqr (+ 1 a))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 a) into (* 3 a) * [misc]backup-simplify: Simplify (- (* 3 a)) into (- (* 3 a)) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 a))) into (- 1 (* 3 a)) * [misc]backup-simplify: Simplify (* 0 (- 1 (* 3 a))) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 4) (sqr (+ 1 a))) 0) into (+ (* 2 (pow a 5)) (+ (pow a 6) (pow a 4))) * [misc]backup-simplify: Simplify (* 4 (+ (* 2 (pow a 5)) (+ (pow a 6) (pow a 4)))) into (* 4 (+ (* 2 (pow a 5)) (+ (pow a 6) (pow a 4)))) * [misc]backup-simplify: Simplify (* (pow a 8) (* 4 (+ (* 2 (pow a 5)) (+ (pow a 6) (pow a 4))))) into (* 4 (* (+ (* 2 (pow a 5)) (+ (pow a 6) (pow a 4))) (pow a 8))) * [misc]backup-simplify: Simplify (+ (* (sqr (- (pow a 6) (pow b 6))) (+ (pow a 3) (sqr a))) (* 4 (* (+ (* 2 (pow a 5)) (+ (pow a 6) (pow a 4))) (pow a 8)))) into (- (+ (* 4 (pow a 12)) (+ (* 8 (pow a 13)) (+ (pow a 15) (+ (* 5 (pow a 14)) (+ (* (pow b 12) (sqr a)) (* (pow b 12) (pow a 3))))))) (+ (* 2 (* (pow b 6) (pow a 9))) (* 2 (* (pow b 6) (pow a 8))))) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* (sqr a) (sqr a)) into (pow a 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sqr a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow a 4) 0) into (pow a 4) * [misc]backup-simplify: Simplify (* (pow a 4) (pow a 4)) into (pow a 8) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (+ 1 a) into (+ 1 a) * [misc]backup-simplify: Simplify (* (sqr a) (+ 1 a)) into (* (sqr a) (+ 1 a)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 a) into (* 3 a) * [misc]backup-simplify: Simplify (- (* 3 a)) into (- (* 3 a)) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 a))) into (- 1 (* 3 a)) * [misc]backup-simplify: Simplify (* 0 (- 1 (* 3 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr a) (+ 1 a)) 0) into (+ (pow a 3) (sqr a)) * [misc]backup-simplify: Simplify (* (pow a 8) (+ (pow a 3) (sqr a))) into (* (pow a 8) (+ (pow a 3) (sqr a))) * [misc]backup-simplify: Simplify (/ (- (+ (* 4 (pow a 12)) (+ (* 8 (pow a 13)) (+ (pow a 15) (+ (* 5 (pow a 14)) (+ (* (pow b 12) (sqr a)) (* (pow b 12) (pow a 3))))))) (+ (* 2 (* (pow b 6) (pow a 9))) (* 2 (* (pow b 6) (pow a 8))))) (* (pow a 8) (+ (pow a 3) (sqr a)))) into (/ (- (+ (* 4 (pow a 12)) (+ (* 8 (pow a 13)) (+ (pow a 15) (+ (* 5 (pow a 14)) (+ (* (pow b 12) (sqr a)) (* (pow b 12) (pow a 3))))))) (+ (* 2 (* (pow b 6) (pow a 9))) (* 2 (* (pow b 6) (pow a 8))))) (* (pow a 8) (+ (pow a 3) (sqr a)))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) in a * [misc]taylor: Taking taylor expansion of (- (pow (sqr a) 3) (pow (sqr b) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (sqr a) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr a)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (* 3 (* 2 (log a))) into (* 6 (log a)) * [misc]backup-simplify: Simplify (exp (* 6 (log a))) into (pow a 6) * [misc]taylor: Taking taylor expansion of (pow (sqr b) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr b)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr b))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (log (sqr b)) into (log (sqr b)) * [misc]backup-simplify: Simplify (* 3 (log (sqr b))) into (* 3 (log (sqr b))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqr b)))) into (pow (sqr b) 3) * [misc]taylor: Taking taylor expansion of (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqr b)) (* (sqr a) (sqr b))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (sqr a) (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (* (sqr a) (+ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqr b)) (* (sqr a) (sqr b))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (sqr a) (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (pow (sqr b) 3)) into (- (pow b 6)) * [misc]backup-simplify: Simplify (+ (pow a 6) (- (pow b 6))) into (- (pow a 6) (pow b 6)) * [misc]backup-simplify: Simplify (* (- (pow a 6) (pow b 6)) (- (pow a 6) (pow b 6))) into (sqr (- (pow a 6) (pow b 6))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (sqr b) 1) into (sqr b) * [misc]backup-simplify: Simplify (- (sqr b)) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr b))) into (- (sqr b)) * [misc]backup-simplify: Simplify (* (sqr (- (pow a 6) (pow b 6))) (- (sqr b))) into (* -1 (* (sqr (- (pow a 6) (pow b 6))) (sqr b))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* (sqr b) (sqr b)) into (pow b 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 0 (sqr b)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (* (pow b 4) (pow b 4)) into (pow b 8) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (sqr b) 1) into (sqr b) * [misc]backup-simplify: Simplify (* (sqr b) (sqr b)) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (- (pow b 4))) into (- (pow b 4)) * [misc]backup-simplify: Simplify (* 4 (- (pow b 4))) into (* -4 (pow b 4)) * [misc]backup-simplify: Simplify (* (pow b 8) (* -4 (pow b 4))) into (* -4 (pow b 12)) * [misc]backup-simplify: Simplify (+ (* -1 (* (sqr (- (pow a 6) (pow b 6))) (sqr b))) (* -4 (pow b 12))) into (- (* 2 (* (pow b 8) (pow a 6))) (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12))))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* (sqr b) (sqr b)) into (pow b 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 0 (sqr b)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (* (pow b 4) (pow b 4)) into (pow b 8) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (sqr b) 1) into (sqr b) * [misc]backup-simplify: Simplify (- (sqr b)) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr b))) into (- (sqr b)) * [misc]backup-simplify: Simplify (* (pow b 8) (- (sqr b))) into (* -1 (pow b 10)) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (pow b 8) (pow a 6))) (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12))))) (* -1 (pow b 10))) into (* -1 (/ (- (* 2 (* (pow b 8) (pow a 6))) (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12))))) (pow b 10))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) in a * [misc]taylor: Taking taylor expansion of (- (pow (sqr a) 3) (pow (sqr b) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (sqr a) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr a)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (* 3 (* 2 (log a))) into (* 6 (log a)) * [misc]backup-simplify: Simplify (exp (* 6 (log a))) into (pow a 6) * [misc]taylor: Taking taylor expansion of (pow (sqr b) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr b)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr b))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (log (sqr b)) into (log (sqr b)) * [misc]backup-simplify: Simplify (* 3 (log (sqr b))) into (* 3 (log (sqr b))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqr b)))) into (pow (sqr b) 3) * [misc]taylor: Taking taylor expansion of (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqr b)) (* (sqr a) (sqr b))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (sqr a) (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (* (sqr a) (+ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqr b)) (* (sqr a) (sqr b))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (sqr a) (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (pow (sqr b) 3)) into (- (pow b 6)) * [misc]backup-simplify: Simplify (+ (pow a 6) (- (pow b 6))) into (- (pow a 6) (pow b 6)) * [misc]backup-simplify: Simplify (* (- (pow a 6) (pow b 6)) (- (pow a 6) (pow b 6))) into (sqr (- (pow a 6) (pow b 6))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (sqr b) 1) into (sqr b) * [misc]backup-simplify: Simplify (- (sqr b)) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr b))) into (- (sqr b)) * [misc]backup-simplify: Simplify (* (sqr (- (pow a 6) (pow b 6))) (- (sqr b))) into (* -1 (* (sqr (- (pow a 6) (pow b 6))) (sqr b))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* (sqr b) (sqr b)) into (pow b 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 0 (sqr b)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (* (pow b 4) (pow b 4)) into (pow b 8) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (sqr b) 1) into (sqr b) * [misc]backup-simplify: Simplify (* (sqr b) (sqr b)) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (- (pow b 4))) into (- (pow b 4)) * [misc]backup-simplify: Simplify (* 4 (- (pow b 4))) into (* -4 (pow b 4)) * [misc]backup-simplify: Simplify (* (pow b 8) (* -4 (pow b 4))) into (* -4 (pow b 12)) * [misc]backup-simplify: Simplify (+ (* -1 (* (sqr (- (pow a 6) (pow b 6))) (sqr b))) (* -4 (pow b 12))) into (- (* 2 (* (pow b 8) (pow a 6))) (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12))))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* (sqr b) (sqr b)) into (pow b 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 0 (sqr b)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (* (pow b 4) (pow b 4)) into (pow b 8) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (sqr b) 1) into (sqr b) * [misc]backup-simplify: Simplify (- (sqr b)) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr b))) into (- (sqr b)) * [misc]backup-simplify: Simplify (* (pow b 8) (- (sqr b))) into (* -1 (pow b 10)) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (pow b 8) (pow a 6))) (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12))))) (* -1 (pow b 10))) into (* -1 (/ (- (* 2 (* (pow b 8) (pow a 6))) (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12))))) (pow b 10))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (* 2 (* (pow b 8) (pow a 6))) (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12))))) (pow b 10))) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (* 2 (* (pow b 8) (pow a 6))) (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12))))) (pow b 10)) in b * [misc]taylor: Taking taylor expansion of (- (* 2 (* (pow b 8) (pow a 6))) (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12))))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow b 8) (pow a 6))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow b 8) (pow a 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of (pow a 6) in b * [misc]taylor: Taking taylor expansion of (exp (* 6 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 6 (log a)) in b * [misc]taylor: Taking taylor expansion of 6 in b * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 6 (log a)) into (* 6 (log a)) * [misc]backup-simplify: Simplify (exp (* 6 (log a))) into (pow a 6) * [misc]taylor: Taking taylor expansion of (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12)))) in b * [misc]taylor: Taking taylor expansion of (* (sqr b) (pow a 12)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 12) in b * [misc]taylor: Taking taylor expansion of (exp (* 12 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 12 (log a)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 12 (log a)) into (* 12 (log a)) * [misc]backup-simplify: Simplify (exp (* 12 (log a))) into (pow a 12) * [misc]taylor: Taking taylor expansion of (+ (pow b 14) (* 4 (pow b 12))) in b * [misc]taylor: Taking taylor expansion of (pow b 14) in b * [misc]taylor: Taking taylor expansion of (* 4 (pow b 12)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 (pow a 12)) 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 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow a 12))) 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 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (* 0 (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (pow a 12)))) into (pow a 12) * [misc]backup-simplify: Simplify (+ (pow a 12) 0) into (pow a 12) * [misc]backup-simplify: Simplify (- (pow a 12)) into (- (pow a 12)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 12))) into (- (pow a 12)) * [misc]backup-simplify: Simplify (/ (- (pow a 12)) 1) into (* -1 (pow a 12)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow a 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow a 6))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow a 6)) into (pow a 6) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow a 6)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow a 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow a 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow a 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow a 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow a 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow a 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow a 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow a 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow a 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow a 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow a 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow a 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow a 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow a 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow a 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow a 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow a 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow a 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow a 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow a 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow a 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow a 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow a 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow a 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow a 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow a 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow a 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow a 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow a 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow a 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow a 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow a 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow a 1)))) 5040) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -5040 (/ (* (pow (* 1 0) 8)) (pow a 8))) (* 20160 (/ (* (pow (* 1 0) 6) (pow (* 2 0) 1)) (pow a 7))) (* -25200 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 2)) (pow a 6))) (* -6720 (/ (* (pow (* 1 0) 5) 1 (pow (* 6 0) 1)) (pow a 6))) (* 10080 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 3)) (pow a 5))) (* 13440 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow a 5))) (* 1680 (/ (* (pow (* 1 0) 4) 1 1 (pow (* 24 0) 1)) (pow a 5))) (* -630 (/ (* 1 (pow (* 2 0) 4)) (pow a 4))) (* -5040 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow a 4))) (* -1680 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 2)) (pow a 4))) (* -2520 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow a 4))) (* -336 (/ (* (pow (* 1 0) 3) 1 1 1 (pow (* 120 0) 1)) (pow a 4))) (* 560 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 2)) (pow a 3))) (* 420 (/ (* 1 (pow (* 2 0) 2) 1 (pow (* 24 0) 1)) (pow a 3))) (* 560 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 3))) (* 336 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow a 3))) (* 56 (/ (* (pow (* 1 0) 2) 1 1 1 1 (pow (* 720 0) 1)) (pow a 3))) (* -35 (/ (* 1 1 1 (pow (* 24 0) 2)) (pow a 2))) (* -56 (/ (* 1 1 (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow a 2))) (* -28 (/ (* 1 (pow (* 2 0) 1) 1 1 1 (pow (* 720 0) 1)) (pow a 2))) (* -8 (/ (* (pow (* 1 0) 1) 1 1 1 1 1 (pow (* 5040 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 1 1 1 1 (pow (* 40320 0) 1)) (pow a 1)))) 40320) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 40320 (/ (* (pow (* 1 0) 9)) (pow a 9))) (* -181440 (/ (* (pow (* 1 0) 7) (pow (* 2 0) 1)) (pow a 8))) (* 272160 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 2)) (pow a 7))) (* 60480 (/ (* (pow (* 1 0) 6) 1 (pow (* 6 0) 1)) (pow a 7))) (* -151200 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 3)) (pow a 6))) (* -151200 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow a 6))) (* -15120 (/ (* (pow (* 1 0) 5) 1 1 (pow (* 24 0) 1)) (pow a 6))) (* 22680 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 4)) (pow a 5))) (* 90720 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow a 5))) (* 20160 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 2)) (pow a 5))) (* 30240 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow a 5))) (* 3024 (/ (* (pow (* 1 0) 4) 1 1 1 (pow (* 120 0) 1)) (pow a 5))) (* -7560 (/ (* 1 (pow (* 2 0) 3) (pow (* 6 0) 1)) (pow a 4))) (* -15120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 2)) (pow a 4))) (* -11340 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2) 1 (pow (* 24 0) 1)) (pow a 4))) (* -7560 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 4))) (* -4536 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow a 4))) (* -504 (/ (* (pow (* 1 0) 3) 1 1 1 1 (pow (* 720 0) 1)) (pow a 4))) (* 560 (/ (* 1 1 (pow (* 6 0) 3)) (pow a 3))) (* 2520 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 3))) (* 756 (/ (* 1 (pow (* 2 0) 2) 1 1 (pow (* 120 0) 1)) (pow a 3))) (* 630 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 2)) (pow a 3))) (* 1008 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow a 3))) (* 504 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 1 1 (pow (* 720 0) 1)) (pow a 3))) (* 72 (/ (* (pow (* 1 0) 2) 1 1 1 1 1 (pow (* 5040 0) 1)) (pow a 3))) (* -126 (/ (* 1 1 1 (pow (* 24 0) 1) (pow (* 120 0) 1)) (pow a 2))) (* -84 (/ (* 1 1 (pow (* 6 0) 1) 1 1 (pow (* 720 0) 1)) (pow a 2))) (* -36 (/ (* 1 (pow (* 2 0) 1) 1 1 1 1 (pow (* 5040 0) 1)) (pow a 2))) (* -9 (/ (* (pow (* 1 0) 1) 1 1 1 1 1 1 (pow (* 40320 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 1 1 1 1 1 (pow (* 362880 0) 1)) (pow a 1)))) 362880) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -362880 (/ (* (pow (* 1 0) 10)) (pow a 10))) (* 1814400 (/ (* (pow (* 1 0) 8) (pow (* 2 0) 1)) (pow a 9))) (* -3175200 (/ (* (pow (* 1 0) 6) (pow (* 2 0) 2)) (pow a 8))) (* -604800 (/ (* (pow (* 1 0) 7) 1 (pow (* 6 0) 1)) (pow a 8))) (* 2268000 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 3)) (pow a 7))) (* 1814400 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow a 7))) (* 151200 (/ (* (pow (* 1 0) 6) 1 1 (pow (* 24 0) 1)) (pow a 7))) (* -567000 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 4)) (pow a 6))) (* -1512000 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow a 6))) (* -252000 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 2)) (pow a 6))) (* -378000 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow a 6))) (* -30240 (/ (* (pow (* 1 0) 5) 1 1 1 (pow (* 120 0) 1)) (pow a 6))) (* 22680 (/ (* 1 (pow (* 2 0) 5)) (pow a 5))) (* 302400 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3) (pow (* 6 0) 1)) (pow a 5))) (* 302400 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 2)) (pow a 5))) (* 226800 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2) 1 (pow (* 24 0) 1)) (pow a 5))) (* 100800 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 5))) (* 60480 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow a 5))) (* 5040 (/ (* (pow (* 1 0) 4) 1 1 1 1 (pow (* 720 0) 1)) (pow a 5))) (* -37800 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 2)) (pow a 4))) (* -18900 (/ (* 1 (pow (* 2 0) 3) 1 (pow (* 24 0) 1)) (pow a 4))) (* -16800 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 3)) (pow a 4))) (* -75600 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 4))) (* -22680 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2) 1 1 (pow (* 120 0) 1)) (pow a 4))) (* -9450 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 2)) (pow a 4))) (* -15120 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow a 4))) (* -7560 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) 1 1 1 (pow (* 720 0) 1)) (pow a 4))) (* -720 (/ (* (pow (* 1 0) 3) 1 1 1 1 1 (pow (* 5040 0) 1)) (pow a 4))) (* 4200 (/ (* 1 1 (pow (* 6 0) 2) (pow (* 24 0) 1)) (pow a 3))) (* 3150 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 2)) (pow a 3))) (* 5040 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow a 3))) (* 1260 (/ (* 1 (pow (* 2 0) 2) 1 1 1 (pow (* 720 0) 1)) (pow a 3))) (* 2520 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1) (pow (* 120 0) 1)) (pow a 3))) (* 1680 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) 1 1 (pow (* 720 0) 1)) (pow a 3))) (* 720 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 1 1 1 (pow (* 5040 0) 1)) (pow a 3))) (* 90 (/ (* (pow (* 1 0) 2) 1 1 1 1 1 1 (pow (* 40320 0) 1)) (pow a 3))) (* -126 (/ (* 1 1 1 1 (pow (* 120 0) 2)) (pow a 2))) (* -210 (/ (* 1 1 1 (pow (* 24 0) 1) 1 (pow (* 720 0) 1)) (pow a 2))) (* -120 (/ (* 1 1 (pow (* 6 0) 1) 1 1 1 (pow (* 5040 0) 1)) (pow a 2))) (* -45 (/ (* 1 (pow (* 2 0) 1) 1 1 1 1 1 (pow (* 40320 0) 1)) (pow a 2))) (* -10 (/ (* (pow (* 1 0) 1) 1 1 1 1 1 1 1 (pow (* 362880 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 1 1 1 1 1 1 (pow (* 3628800 0) 1)) (pow a 1)))) 3628800) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 10) 3628800)) (* (/ (pow 0 8) 40320) (/ (pow 0 1) 1)) (* (/ (pow 0 7) 5040) (/ (pow 0 1) 1)) (* (/ (pow 0 6) 720) (/ (pow 0 2) 2)) (* (/ (pow 0 6) 720) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 3) 6)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 2) 2)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 9) 362880)) (* (/ (pow 0 7) 5040) (/ (pow 0 1) 1)) (* (/ (pow 0 6) 720) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 2) 2)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 3) 6)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 4) 24)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 8) 40320)) (* (/ (pow 0 6) 720) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 2) 2)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 3) 6)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 7) 5040)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 12)))))))))))) 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 0) (+ (* 0 0) (+ (* 1 0) (* 0 (pow a 12))))) 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 1) (+ (* (* -1 (pow a 12)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow a 12)))))) 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 1) (+ (* (* -1 (pow a 12)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 12))))))) 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 1) (+ (* (* -1 (pow a 12)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 12)))))))) 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 1) (+ (* (* -1 (pow a 12)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 12))))))))) 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 1) (+ (* (* -1 (pow a 12)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 2 (pow a 6)) into (* 2 (pow a 6)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 12)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow a 6)) 0) into (* 2 (pow a 6)) * [misc]backup-simplify: Simplify (- (/ (* 2 (pow a 6)) 1) (+ (* (* -1 (pow a 12)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into (* 2 (pow a 6)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow a 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 12))))))))))) 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 1) (+ (* (* -1 (pow a 12)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (* 2 (pow a 6)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (pow a 12)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (* 2 (pow a 6)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* 2 (pow a 6))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow a 12))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) -3) (* 0 1)) into (- (* 3 (sqr b))) * [misc]backup-simplify: Simplify (- (- (* 3 (sqr b)))) into (* 3 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (* 3 (sqr b))) into (* 3 (sqr b)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 2 (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqr b) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqr b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqr b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a 6) (pow b 6)) 0) (* 0 (- (pow a 6) (pow b 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr (- (pow a 6) (pow b 6))) (* 3 (sqr b))) (* 0 (- (sqr b)))) into (- (+ (* 3 (* (sqr b) (pow a 12))) (* 3 (pow b 14))) (* 6 (* (pow b 8) (pow a 6)))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) -3) (* 0 1)) into (- (* 3 (sqr b))) * [misc]backup-simplify: Simplify (+ (* (sqr b) (- (* 3 (sqr b)))) (* (- (* 3 (sqr b))) (sqr b))) into (- (* 6 (pow b 4))) * [misc]backup-simplify: Simplify (- (- (* 6 (pow b 4)))) into (* 6 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (* 6 (pow b 4))) into (* 6 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* 4 (* 6 (pow b 4))) (* 0 (- (pow b 4)))) into (* 24 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (* 0 (sqr b))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (sqr b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (* 0 (pow b 4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 8) (* 24 (pow b 4))) (* 0 (* -4 (pow b 4)))) into (* 24 (pow b 12)) * [misc]backup-simplify: Simplify (+ (- (+ (* 3 (* (sqr b) (pow a 12))) (* 3 (pow b 14))) (* 6 (* (pow b 8) (pow a 6)))) (* 24 (pow b 12))) into (- (+ (* 3 (* (sqr b) (pow a 12))) (+ (* 3 (pow b 14)) (* 24 (pow b 12)))) (* 6 (* (pow b 8) (pow a 6)))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) -3) (* 0 1)) into (- (* 3 (sqr b))) * [misc]backup-simplify: Simplify (- (- (* 3 (sqr b)))) into (* 3 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (* 3 (sqr b))) into (* 3 (sqr b)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (* 0 (sqr b))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (sqr b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (* 0 (pow b 4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 8) (* 3 (sqr b))) (* 0 (- (sqr b)))) into (* 3 (pow b 10)) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 3 (* (sqr b) (pow a 12))) (+ (* 3 (pow b 14)) (* 24 (pow b 12)))) (* 6 (* (pow b 8) (pow a 6)))) (* -1 (pow b 10))) (+ (* (* -1 (/ (- (* 2 (* (pow b 8) (pow a 6))) (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12))))) (pow b 10))) (/ (* 3 (pow b 10)) (* -1 (pow b 10)))))) into (- (* 12 (sqr b))) * [misc]taylor: Taking taylor expansion of (- (* 12 (sqr b))) in b * [misc]taylor: Taking taylor expansion of (* 12 (sqr b)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 12 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 3628800 (/ (* (pow (* 1 0) 11)) (pow a 11))) (* -19958400 (/ (* (pow (* 1 0) 9) (pow (* 2 0) 1)) (pow a 10))) (* 39916800 (/ (* (pow (* 1 0) 7) (pow (* 2 0) 2)) (pow a 9))) (* 6652800 (/ (* (pow (* 1 0) 8) 1 (pow (* 6 0) 1)) (pow a 9))) (* -34927200 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 3)) (pow a 8))) (* -23284800 (/ (* (pow (* 1 0) 6) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow a 8))) (* -1663200 (/ (* (pow (* 1 0) 7) 1 1 (pow (* 24 0) 1)) (pow a 8))) (* 12474000 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 4)) (pow a 7))) (* 24948000 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow a 7))) (* 3326400 (/ (* (pow (* 1 0) 5) 1 (pow (* 6 0) 2)) (pow a 7))) (* 4989600 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow a 7))) (* 332640 (/ (* (pow (* 1 0) 6) 1 1 1 (pow (* 120 0) 1)) (pow a 7))) (* -1247400 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 5)) (pow a 6))) (* -8316000 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 3) (pow (* 6 0) 1)) (pow a 6))) (* -5544000 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1) (pow (* 6 0) 2)) (pow a 6))) (* -4158000 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2) 1 (pow (* 24 0) 1)) (pow a 6))) (* -1386000 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 6))) (* -831600 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow a 6))) (* -55440 (/ (* (pow (* 1 0) 5) 1 1 1 1 (pow (* 720 0) 1)) (pow a 6))) (* 415800 (/ (* 1 (pow (* 2 0) 4) (pow (* 6 0) 1)) (pow a 5))) (* 1663200 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2) (pow (* 6 0) 2)) (pow a 5))) (* 831600 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3) 1 (pow (* 24 0) 1)) (pow a 5))) (* 369600 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 3)) (pow a 5))) (* 1663200 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 5))) (* 498960 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2) 1 1 (pow (* 120 0) 1)) (pow a 5))) (* 138600 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 2)) (pow a 5))) (* 221760 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow a 5))) (* 110880 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1) 1 1 1 (pow (* 720 0) 1)) (pow a 5))) (* 7920 (/ (* (pow (* 1 0) 4) 1 1 1 1 1 (pow (* 5040 0) 1)) (pow a 5))) (* -92400 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 3)) (pow a 4))) (* -207900 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 4))) (* -41580 (/ (* 1 (pow (* 2 0) 3) 1 1 (pow (* 120 0) 1)) (pow a 4))) (* -138600 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2) (pow (* 24 0) 1)) (pow a 4))) (* -103950 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 2)) (pow a 4))) (* -166320 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow a 4))) (* -41580 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2) 1 1 1 (pow (* 720 0) 1)) (pow a 4))) (* -41580 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1) (pow (* 120 0) 1)) (pow a 4))) (* -27720 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1) 1 1 (pow (* 720 0) 1)) (pow a 4))) (* -11880 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) 1 1 1 1 (pow (* 5040 0) 1)) (pow a 4))) (* -990 (/ (* (pow (* 1 0) 3) 1 1 1 1 1 1 (pow (* 40320 0) 1)) (pow a 4))) (* 11550 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 2)) (pow a 3))) (* 9240 (/ (* 1 1 (pow (* 6 0) 2) 1 (pow (* 120 0) 1)) (pow a 3))) (* 13860 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1) (pow (* 120 0) 1)) (pow a 3))) (* 9240 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1) 1 1 (pow (* 720 0) 1)) (pow a 3))) (* 1980 (/ (* 1 (pow (* 2 0) 2) 1 1 1 1 (pow (* 5040 0) 1)) (pow a 3))) (* 2772 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 2)) (pow a 3))) (* 4620 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1) 1 (pow (* 720 0) 1)) (pow a 3))) (* 2640 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) 1 1 1 (pow (* 5040 0) 1)) (pow a 3))) (* 990 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 1 1 1 1 (pow (* 40320 0) 1)) (pow a 3))) (* 110 (/ (* (pow (* 1 0) 2) 1 1 1 1 1 1 1 (pow (* 362880 0) 1)) (pow a 3))) (* -462 (/ (* 1 1 1 1 (pow (* 120 0) 1) (pow (* 720 0) 1)) (pow a 2))) (* -330 (/ (* 1 1 1 (pow (* 24 0) 1) 1 1 (pow (* 5040 0) 1)) (pow a 2))) (* -165 (/ (* 1 1 (pow (* 6 0) 1) 1 1 1 1 (pow (* 40320 0) 1)) (pow a 2))) (* -55 (/ (* 1 (pow (* 2 0) 1) 1 1 1 1 1 1 (pow (* 362880 0) 1)) (pow a 2))) (* -11 (/ (* (pow (* 1 0) 1) 1 1 1 1 1 1 1 1 (pow (* 3628800 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 1 1 1 1 1 1 1 (pow (* 39916800 0) 1)) (pow a 1)))) 39916800) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 11) 39916800)) (* (/ (pow 0 9) 362880) (/ (pow 0 1) 1)) (* (/ (pow 0 8) 40320) (/ (pow 0 1) 1)) (* (/ (pow 0 7) 5040) (/ (pow 0 2) 2)) (* (/ (pow 0 7) 5040) (/ (pow 0 1) 1)) (* (/ (pow 0 6) 720) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 6) 720) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 3) 6)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 2) 2)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 4) 24)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 3) 6)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 5) 120)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 12))))))))))))) 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 1) (+ (* (* -1 (pow a 12)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (* 2 (pow a 6)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 2 (pow a 6))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow a 12)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 -3) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 2 (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqr b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqr b) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (sqr b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqr b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a 6) (pow b 6)) 0) (+ (* 0 0) (* 0 (- (pow a 6) (pow b 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr (- (pow a 6) (pow b 6))) 1) (+ (* 0 (* 3 (sqr b))) (* 0 (- (sqr b))))) into (- (+ (pow a 12) (pow b 12)) (* 2 (* (pow b 6) (pow a 6)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* 0 0) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 -3) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* (- (* 3 (sqr b))) (- (* 3 (sqr b)))) (* 0 (sqr b)))) into (* 9 (pow b 4)) * [misc]backup-simplify: Simplify (- (* 9 (pow b 4))) into (- (* 9 (pow b 4))) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (pow b 4)))) into (- (* 9 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 9 (pow b 4)))) (+ (* 0 (* 6 (pow b 4))) (* 0 (- (pow b 4))))) into (- (* 36 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* 0 0) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (* 0 (sqr b)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr b)))) into (sqr b) * [misc]backup-simplify: Simplify (- (sqr b)) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr b))) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr b))) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ (* (pow b 4) (- (sqr b))) (+ (* 0 0) (* (- (sqr b)) (pow b 4)))) into (- (* 2 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* (pow b 8) (- (* 36 (pow b 4)))) (+ (* 0 (* 24 (pow b 4))) (* (- (* 2 (pow b 6))) (* -4 (pow b 4))))) into (- (* 8 (pow b 10)) (* 36 (pow b 12))) * [misc]backup-simplify: Simplify (+ (- (+ (pow a 12) (pow b 12)) (* 2 (* (pow b 6) (pow a 6)))) (- (* 8 (pow b 10)) (* 36 (pow b 12)))) into (- (+ (pow a 12) (* 8 (pow b 10))) (+ (* 35 (pow b 12)) (* 2 (* (pow b 6) (pow a 6))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 -3) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* 0 0) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (* 0 (sqr b)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr b)))) into (sqr b) * [misc]backup-simplify: Simplify (- (sqr b)) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr b))) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr b))) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ (* (pow b 4) (- (sqr b))) (+ (* 0 0) (* (- (sqr b)) (pow b 4)))) into (- (* 2 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* (pow b 8) 1) (+ (* 0 (* 3 (sqr b))) (* (- (* 2 (pow b 6))) (- (sqr b))))) into (* 3 (pow b 8)) * [misc]backup-simplify: Simplify (- (/ (- (+ (pow a 12) (* 8 (pow b 10))) (+ (* 35 (pow b 12)) (* 2 (* (pow b 6) (pow a 6))))) (* -1 (pow b 10))) (+ (* (* -1 (/ (- (* 2 (* (pow b 8) (pow a 6))) (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12))))) (pow b 10))) (/ (* 3 (pow b 8)) (* -1 (pow b 10)))) (* (- (* 12 (sqr b))) (/ (* 3 (pow b 10)) (* -1 (pow b 10)))))) into (- (+ (* 2 (/ (pow a 12) (pow b 10))) (+ 4 (* 2 (sqr b)))) (* 4 (/ (pow a 6) (pow b 4)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ (pow a 12) (pow b 10))) (+ 4 (* 2 (sqr b)))) (* 4 (/ (pow a 6) (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow a 12) (pow b 10))) (+ 4 (* 2 (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow a 12) (pow b 10))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow a 12) (pow b 10)) in b * [misc]taylor: Taking taylor expansion of (pow a 12) in b * [misc]taylor: Taking taylor expansion of (exp (* 12 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 12 (log a)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 12 (log a)) into (* 12 (log a)) * [misc]backup-simplify: Simplify (exp (* 12 (log a))) into (pow a 12) * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]backup-simplify: Simplify (/ (pow a 12) 1) into (pow a 12) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (sqr b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow a 6) (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow a 6) (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow a 6) in b * [misc]taylor: Taking taylor expansion of (exp (* 6 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 6 (log a)) in b * [misc]taylor: Taking taylor expansion of 6 in b * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 6 (log a)) into (* 6 (log a)) * [misc]backup-simplify: Simplify (exp (* 6 (log a))) into (pow a 6) * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ (pow a 6) 1) into (pow a 6) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (* 0 (log a)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow a 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow a 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow a 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow a 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow a 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow a 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow a 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow a 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow a 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow a 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow a 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow a 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow a 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow a 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow a 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow a 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow a 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow a 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow a 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow a 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow a 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow a 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow a 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow a 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow a 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow a 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow a 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow a 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow a 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow a 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow a 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow a 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow a 1)))) 5040) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -5040 (/ (* (pow (* 1 0) 8)) (pow a 8))) (* 20160 (/ (* (pow (* 1 0) 6) (pow (* 2 0) 1)) (pow a 7))) (* -25200 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 2)) (pow a 6))) (* -6720 (/ (* (pow (* 1 0) 5) 1 (pow (* 6 0) 1)) (pow a 6))) (* 10080 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 3)) (pow a 5))) (* 13440 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow a 5))) (* 1680 (/ (* (pow (* 1 0) 4) 1 1 (pow (* 24 0) 1)) (pow a 5))) (* -630 (/ (* 1 (pow (* 2 0) 4)) (pow a 4))) (* -5040 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow a 4))) (* -1680 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 2)) (pow a 4))) (* -2520 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow a 4))) (* -336 (/ (* (pow (* 1 0) 3) 1 1 1 (pow (* 120 0) 1)) (pow a 4))) (* 560 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 2)) (pow a 3))) (* 420 (/ (* 1 (pow (* 2 0) 2) 1 (pow (* 24 0) 1)) (pow a 3))) (* 560 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 3))) (* 336 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow a 3))) (* 56 (/ (* (pow (* 1 0) 2) 1 1 1 1 (pow (* 720 0) 1)) (pow a 3))) (* -35 (/ (* 1 1 1 (pow (* 24 0) 2)) (pow a 2))) (* -56 (/ (* 1 1 (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow a 2))) (* -28 (/ (* 1 (pow (* 2 0) 1) 1 1 1 (pow (* 720 0) 1)) (pow a 2))) (* -8 (/ (* (pow (* 1 0) 1) 1 1 1 1 1 (pow (* 5040 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 1 1 1 1 (pow (* 40320 0) 1)) (pow a 1)))) 40320) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 40320 (/ (* (pow (* 1 0) 9)) (pow a 9))) (* -181440 (/ (* (pow (* 1 0) 7) (pow (* 2 0) 1)) (pow a 8))) (* 272160 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 2)) (pow a 7))) (* 60480 (/ (* (pow (* 1 0) 6) 1 (pow (* 6 0) 1)) (pow a 7))) (* -151200 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 3)) (pow a 6))) (* -151200 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow a 6))) (* -15120 (/ (* (pow (* 1 0) 5) 1 1 (pow (* 24 0) 1)) (pow a 6))) (* 22680 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 4)) (pow a 5))) (* 90720 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow a 5))) (* 20160 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 2)) (pow a 5))) (* 30240 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow a 5))) (* 3024 (/ (* (pow (* 1 0) 4) 1 1 1 (pow (* 120 0) 1)) (pow a 5))) (* -7560 (/ (* 1 (pow (* 2 0) 3) (pow (* 6 0) 1)) (pow a 4))) (* -15120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 2)) (pow a 4))) (* -11340 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2) 1 (pow (* 24 0) 1)) (pow a 4))) (* -7560 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 4))) (* -4536 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow a 4))) (* -504 (/ (* (pow (* 1 0) 3) 1 1 1 1 (pow (* 720 0) 1)) (pow a 4))) (* 560 (/ (* 1 1 (pow (* 6 0) 3)) (pow a 3))) (* 2520 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 3))) (* 756 (/ (* 1 (pow (* 2 0) 2) 1 1 (pow (* 120 0) 1)) (pow a 3))) (* 630 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 2)) (pow a 3))) (* 1008 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow a 3))) (* 504 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 1 1 (pow (* 720 0) 1)) (pow a 3))) (* 72 (/ (* (pow (* 1 0) 2) 1 1 1 1 1 (pow (* 5040 0) 1)) (pow a 3))) (* -126 (/ (* 1 1 1 (pow (* 24 0) 1) (pow (* 120 0) 1)) (pow a 2))) (* -84 (/ (* 1 1 (pow (* 6 0) 1) 1 1 (pow (* 720 0) 1)) (pow a 2))) (* -36 (/ (* 1 (pow (* 2 0) 1) 1 1 1 1 (pow (* 5040 0) 1)) (pow a 2))) (* -9 (/ (* (pow (* 1 0) 1) 1 1 1 1 1 1 (pow (* 40320 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 1 1 1 1 1 (pow (* 362880 0) 1)) (pow a 1)))) 362880) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -362880 (/ (* (pow (* 1 0) 10)) (pow a 10))) (* 1814400 (/ (* (pow (* 1 0) 8) (pow (* 2 0) 1)) (pow a 9))) (* -3175200 (/ (* (pow (* 1 0) 6) (pow (* 2 0) 2)) (pow a 8))) (* -604800 (/ (* (pow (* 1 0) 7) 1 (pow (* 6 0) 1)) (pow a 8))) (* 2268000 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 3)) (pow a 7))) (* 1814400 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow a 7))) (* 151200 (/ (* (pow (* 1 0) 6) 1 1 (pow (* 24 0) 1)) (pow a 7))) (* -567000 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 4)) (pow a 6))) (* -1512000 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow a 6))) (* -252000 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 2)) (pow a 6))) (* -378000 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow a 6))) (* -30240 (/ (* (pow (* 1 0) 5) 1 1 1 (pow (* 120 0) 1)) (pow a 6))) (* 22680 (/ (* 1 (pow (* 2 0) 5)) (pow a 5))) (* 302400 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3) (pow (* 6 0) 1)) (pow a 5))) (* 302400 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 2)) (pow a 5))) (* 226800 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2) 1 (pow (* 24 0) 1)) (pow a 5))) (* 100800 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 5))) (* 60480 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow a 5))) (* 5040 (/ (* (pow (* 1 0) 4) 1 1 1 1 (pow (* 720 0) 1)) (pow a 5))) (* -37800 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 2)) (pow a 4))) (* -18900 (/ (* 1 (pow (* 2 0) 3) 1 (pow (* 24 0) 1)) (pow a 4))) (* -16800 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 3)) (pow a 4))) (* -75600 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 4))) (* -22680 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2) 1 1 (pow (* 120 0) 1)) (pow a 4))) (* -9450 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 2)) (pow a 4))) (* -15120 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow a 4))) (* -7560 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) 1 1 1 (pow (* 720 0) 1)) (pow a 4))) (* -720 (/ (* (pow (* 1 0) 3) 1 1 1 1 1 (pow (* 5040 0) 1)) (pow a 4))) (* 4200 (/ (* 1 1 (pow (* 6 0) 2) (pow (* 24 0) 1)) (pow a 3))) (* 3150 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 2)) (pow a 3))) (* 5040 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow a 3))) (* 1260 (/ (* 1 (pow (* 2 0) 2) 1 1 1 (pow (* 720 0) 1)) (pow a 3))) (* 2520 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1) (pow (* 120 0) 1)) (pow a 3))) (* 1680 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) 1 1 (pow (* 720 0) 1)) (pow a 3))) (* 720 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 1 1 1 (pow (* 5040 0) 1)) (pow a 3))) (* 90 (/ (* (pow (* 1 0) 2) 1 1 1 1 1 1 (pow (* 40320 0) 1)) (pow a 3))) (* -126 (/ (* 1 1 1 1 (pow (* 120 0) 2)) (pow a 2))) (* -210 (/ (* 1 1 1 (pow (* 24 0) 1) 1 (pow (* 720 0) 1)) (pow a 2))) (* -120 (/ (* 1 1 (pow (* 6 0) 1) 1 1 1 (pow (* 5040 0) 1)) (pow a 2))) (* -45 (/ (* 1 (pow (* 2 0) 1) 1 1 1 1 1 (pow (* 40320 0) 1)) (pow a 2))) (* -10 (/ (* (pow (* 1 0) 1) 1 1 1 1 1 1 1 (pow (* 362880 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 1 1 1 1 1 1 (pow (* 3628800 0) 1)) (pow a 1)))) 3628800) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 10) 3628800)) (* (/ (pow 0 8) 40320) (/ (pow 0 1) 1)) (* (/ (pow 0 7) 5040) (/ (pow 0 1) 1)) (* (/ (pow 0 6) 720) (/ (pow 0 2) 2)) (* (/ (pow 0 6) 720) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 3) 6)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 2) 2)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow a 12) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow a 12) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow a 12) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow a 12) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow a 12) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow a 12) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 7) 5040)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow a 12) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 8) 40320)) (* (/ (pow 0 6) 720) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 2) 2)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 3) 6)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow a 12) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 9) 362880)) (* (/ (pow 0 7) 5040) (/ (pow 0 1) 1)) (* (/ (pow 0 6) 720) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 2) 2)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 3) 6)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 4) 24)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow a 12) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow a 12) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 12)))))))))))) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (log a)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow a 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow a 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow a 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow a 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow a 6) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow a 6) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow a 6) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow a 6) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow a 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow a 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow a 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow a 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -39916800 (/ (* (pow (* 1 0) 12)) (pow a 12))) (* 239500800 (/ (* (pow (* 1 0) 10) (pow (* 2 0) 1)) (pow a 11))) (* -538876800 (/ (* (pow (* 1 0) 8) (pow (* 2 0) 2)) (pow a 10))) (* -79833600 (/ (* (pow (* 1 0) 9) 1 (pow (* 6 0) 1)) (pow a 10))) (* 558835200 (/ (* (pow (* 1 0) 6) (pow (* 2 0) 3)) (pow a 9))) (* 319334400 (/ (* (pow (* 1 0) 7) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow a 9))) (* 19958400 (/ (* (pow (* 1 0) 8) 1 1 (pow (* 24 0) 1)) (pow a 9))) (* -261954000 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 4)) (pow a 8))) (* -419126400 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow a 8))) (* -46569600 (/ (* (pow (* 1 0) 6) 1 (pow (* 6 0) 2)) (pow a 8))) (* -69854400 (/ (* (pow (* 1 0) 6) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow a 8))) (* -3991680 (/ (* (pow (* 1 0) 7) 1 1 1 (pow (* 120 0) 1)) (pow a 8))) (* 44906400 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 5)) (pow a 7))) (* 199584000 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 3) (pow (* 6 0) 1)) (pow a 7))) (* 99792000 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1) (pow (* 6 0) 2)) (pow a 7))) (* 74844000 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 2) 1 (pow (* 24 0) 1)) (pow a 7))) (* 19958400 (/ (* (pow (* 1 0) 5) 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 7))) (* 11975040 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow a 7))) (* 665280 (/ (* (pow (* 1 0) 6) 1 1 1 1 (pow (* 720 0) 1)) (pow a 7))) (* -1247400 (/ (* 1 (pow (* 2 0) 6)) (pow a 6))) (* -24948000 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 4) (pow (* 6 0) 1)) (pow a 6))) (* -49896000 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2) (pow (* 6 0) 2)) (pow a 6))) (* -24948000 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 3) 1 (pow (* 24 0) 1)) (pow a 6))) (* -7392000 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 3)) (pow a 6))) (* -33264000 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1) (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 6))) (* -9979200 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2) 1 1 (pow (* 120 0) 1)) (pow a 6))) (* -2079000 (/ (* (pow (* 1 0) 4) 1 1 (pow (* 24 0) 2)) (pow a 6))) (* -3326400 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow a 6))) (* -1663200 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1) 1 1 1 (pow (* 720 0) 1)) (pow a 6))) (* -95040 (/ (* (pow (* 1 0) 5) 1 1 1 1 1 (pow (* 5040 0) 1)) (pow a 6))) (* 3326400 (/ (* 1 (pow (* 2 0) 3) (pow (* 6 0) 2)) (pow a 5))) (* 1247400 (/ (* 1 (pow (* 2 0) 4) 1 (pow (* 24 0) 1)) (pow a 5))) (* 4435200 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 3)) (pow a 5))) (* 9979200 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2) (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow a 5))) (* 1995840 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3) 1 1 (pow (* 120 0) 1)) (pow a 5))) (* 3326400 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 2) (pow (* 24 0) 1)) (pow a 5))) (* 2494800 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) 1 (pow (* 24 0) 2)) (pow a 5))) (* 3991680 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow a 5))) (* 997920 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2) 1 1 1 (pow (* 720 0) 1)) (pow a 5))) (* 665280 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1) (pow (* 120 0) 1)) (pow a 5))) (* 443520 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1) 1 1 (pow (* 720 0) 1)) (pow a 5))) (* 190080 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1) 1 1 1 1 (pow (* 5040 0) 1)) (pow a 5))) (* 11880 (/ (* (pow (* 1 0) 4) 1 1 1 1 1 1 (pow (* 40320 0) 1)) (pow a 5))) (* -92400 (/ (* 1 1 (pow (* 6 0) 4)) (pow a 4))) (* -831600 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 2) (pow (* 24 0) 1)) (pow a 4))) (* -311850 (/ (* 1 (pow (* 2 0) 2) 1 (pow (* 24 0) 2)) (pow a 4))) (* -498960 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow a 4))) (* -83160 (/ (* 1 (pow (* 2 0) 3) 1 1 1 (pow (* 720 0) 1)) (pow a 4))) (* -415800 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) (pow (* 24 0) 2)) (pow a 4))) (* -332640 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2) 1 (pow (* 120 0) 1)) (pow a 4))) (* -498960 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1) (pow (* 120 0) 1)) (pow a 4))) (* -332640 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1) 1 1 (pow (* 720 0) 1)) (pow a 4))) (* -71280 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2) 1 1 1 1 (pow (* 5040 0) 1)) (pow a 4))) (* -49896 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 2)) (pow a 4))) (* -83160 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1) 1 (pow (* 720 0) 1)) (pow a 4))) (* -47520 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1) 1 1 1 (pow (* 5040 0) 1)) (pow a 4))) (* -17820 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) 1 1 1 1 1 (pow (* 40320 0) 1)) (pow a 4))) (* -1320 (/ (* (pow (* 1 0) 3) 1 1 1 1 1 1 1 (pow (* 362880 0) 1)) (pow a 4))) (* 11550 (/ (* 1 1 1 (pow (* 24 0) 3)) (pow a 3))) (* 55440 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1) (pow (* 120 0) 1)) (pow a 3))) (* 18480 (/ (* 1 1 (pow (* 6 0) 2) 1 1 (pow (* 720 0) 1)) (pow a 3))) (* 16632 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 2)) (pow a 3))) (* 27720 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1) 1 (pow (* 720 0) 1)) (pow a 3))) (* 15840 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1) 1 1 1 (pow (* 5040 0) 1)) (pow a 3))) (* 2970 (/ (* 1 (pow (* 2 0) 2) 1 1 1 1 1 (pow (* 40320 0) 1)) (pow a 3))) (* 11088 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1) (pow (* 720 0) 1)) (pow a 3))) (* 7920 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1) 1 1 (pow (* 5040 0) 1)) (pow a 3))) (* 3960 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) 1 1 1 1 (pow (* 40320 0) 1)) (pow a 3))) (* 1320 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 1 1 1 1 1 (pow (* 362880 0) 1)) (pow a 3))) (* 132 (/ (* (pow (* 1 0) 2) 1 1 1 1 1 1 1 1 (pow (* 3628800 0) 1)) (pow a 3))) (* -462 (/ (* 1 1 1 1 1 (pow (* 720 0) 2)) (pow a 2))) (* -792 (/ (* 1 1 1 1 (pow (* 120 0) 1) 1 (pow (* 5040 0) 1)) (pow a 2))) (* -495 (/ (* 1 1 1 (pow (* 24 0) 1) 1 1 1 (pow (* 40320 0) 1)) (pow a 2))) (* -220 (/ (* 1 1 (pow (* 6 0) 1) 1 1 1 1 1 (pow (* 362880 0) 1)) (pow a 2))) (* -66 (/ (* 1 (pow (* 2 0) 1) 1 1 1 1 1 1 1 (pow (* 3628800 0) 1)) (pow a 2))) (* -12 (/ (* (pow (* 1 0) 1) 1 1 1 1 1 1 1 1 1 (pow (* 39916800 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 1 1 1 1 1 1 1 1 1 (pow (* 479001600 0) 1)) (pow a 1)))) 479001600) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 12) 479001600)) (* (/ (pow 0 10) 3628800) (/ (pow 0 1) 1)) (* (/ (pow 0 9) 362880) (/ (pow 0 1) 1)) (* (/ (pow 0 8) 40320) (/ (pow 0 2) 2)) (* (/ (pow 0 8) 40320) (/ (pow 0 1) 1)) (* (/ (pow 0 7) 5040) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 7) 5040) (/ (pow 0 1) 1)) (* (/ (pow 0 6) 720) (/ (pow 0 3) 6)) (* (/ (pow 0 6) 720) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 6) 720) (/ (pow 0 2) 2)) (* (/ (pow 0 6) 720) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 4) 24)) (* (/ (pow 0 4) 24) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 2) 2)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 3) 6)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 5) 120)) (* (/ (pow 0 2) 2) (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 12)))))))))))))) into 0 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (- (/ -4 1) (+ (* (* -1 (pow a 12)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (* 2 (pow a 6)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into (- 4) * [misc]backup-simplify: Simplify (+ (* -1 (- 4)) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 2 (pow a 6))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow a 12))))))))))))) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1) (* 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqr b) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqr b) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqr b) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqr b)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqr b)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a 6) (pow b 6)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (pow a 6) (pow b 6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr (- (pow a 6) (pow b 6))) 1) (+ (* 0 1) (+ (* 0 (* 3 (sqr b))) (* 0 (- (sqr b)))))) into (- (+ (pow a 12) (pow b 12)) (* 2 (* (pow b 6) (pow a 6)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1) (* 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* 0 1) (+ (* 1 0) (* 1 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* (- (* 3 (sqr b))) 0) (+ (* 0 (- (* 3 (sqr b)))) (* 0 (sqr b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 (- (* 9 (pow b 4)))) (+ (* 0 (* 6 (pow b 4))) (* 0 (- (pow b 4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (+ (* 1 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr b))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 (- (sqr b))) (+ (* (- (sqr b)) 0) (* 0 (pow b 4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 8) 0) (+ (* 0 (- (* 36 (pow b 4)))) (+ (* (- (* 2 (pow b 6))) (* 24 (pow b 4))) (* 0 (* -4 (pow b 4)))))) into (- (* 48 (pow b 10))) * [misc]backup-simplify: Simplify (+ (- (+ (pow a 12) (pow b 12)) (* 2 (* (pow b 6) (pow a 6)))) (- (* 48 (pow b 10)))) into (- (+ (pow a 12) (pow b 12)) (+ (* 2 (* (pow b 6) (pow a 6))) (* 48 (pow b 10)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1) (* 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (+ (* 1 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr b))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 (- (sqr b))) (+ (* (- (sqr b)) 0) (* 0 (pow b 4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 8) 1) (+ (* 0 1) (+ (* (- (* 2 (pow b 6))) (* 3 (sqr b))) (* 0 (- (sqr b)))))) into (- (* 5 (pow b 8))) * [misc]backup-simplify: Simplify (- (/ (- (+ (pow a 12) (pow b 12)) (+ (* 2 (* (pow b 6) (pow a 6))) (* 48 (pow b 10)))) (* -1 (pow b 10))) (+ (* (* -1 (/ (- (* 2 (* (pow b 8) (pow a 6))) (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12))))) (pow b 10))) (/ (- (* 5 (pow b 8))) (* -1 (pow b 10)))) (* (- (* 12 (sqr b))) (/ (* 3 (pow b 8)) (* -1 (pow b 10)))) (* (- (+ (* 2 (/ (pow a 12) (pow b 10))) (+ 4 (* 2 (sqr b)))) (* 4 (/ (pow a 6) (pow b 4)))) (/ (* 3 (pow b 10)) (* -1 (pow b 10)))))) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 4 (pow (* 1 a) 3)) (+ (* 4 (sqr (* b 1))) (* 4 (sqr (* 1 a))))) into (+ (* 4 (pow a 3)) (+ (* 4 (sqr b)) (* 4 (sqr a)))) * [misc]approximate: Taking taylor expansion of (/ (+ (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))))) (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))))) (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) in b * [misc]taylor: Taking taylor expansion of (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 a)) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (log (/ 1 (sqr a))) into (log (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (* 3 (log (/ 1 (sqr a)))) into (* 3 (log (/ 1 (sqr a)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 1 (sqr a))))) into (pow (/ 1 (sqr a)) 3) * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 b)) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) 0) into (- (* 2 (log b))) * [misc]backup-simplify: Simplify (* 3 (- (* 2 (log b)))) into (* -6 (log b)) * [misc]backup-simplify: Simplify (exp (* -6 (log b))) into (pow b -6) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 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 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) in b * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) in b * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 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 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) in b * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 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 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ 1 a)) into (/ 3 a) * [misc]backup-simplify: Simplify (- (/ 3 a)) into (- (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (- 1 (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (- 1 (* 3 (/ 1 a))) (- 1 (* 3 (/ 1 a)))) into (sqr (- 1 (* 3 (/ 1 a)))) * [misc]backup-simplify: Simplify (- (sqr (- 1 (* 3 (/ 1 a))))) into (- (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a)))))) into (- (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a))))) * [misc]backup-simplify: Simplify (* 4 (- (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a)))))) into (* 4 (- (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a)))))) * [misc]backup-simplify: Simplify (* 1 (* 4 (- (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a))))))) into (* 4 (- (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a)))))) * [misc]backup-simplify: Simplify (+ 0 (* 4 (- (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a))))))) into (- (* 24 (/ 1 a)) (+ 4 (* 36 (/ 1 (sqr a))))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ 1 a)) into (/ 3 a) * [misc]backup-simplify: Simplify (- (/ 3 a)) into (- (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 1 (- (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (- 1 (* 3 (/ 1 a)))) into (- 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (- (- 1 (* 3 (/ 1 a)))) into (- (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (+ 0 (- (* 3 (/ 1 a)) 1)) into (- (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* 1 (- (* 3 (/ 1 a)) 1)) into (- (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (/ (- (* 24 (/ 1 a)) (+ 4 (* 36 (/ 1 (sqr a))))) (- (* 3 (/ 1 a)) 1)) into (/ (- (* 24 (/ 1 a)) (+ 4 (* 36 (/ 1 (sqr a))))) (- (* 3 (/ 1 a)) 1)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))))) (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) in a * [misc]taylor: Taking taylor expansion of (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) 0) into (- (* 2 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (* 2 (log a)))) into (* -6 (log a)) * [misc]backup-simplify: Simplify (exp (* -6 (log a))) into (pow a -6) * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 b)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (log (/ 1 (sqr b))) into (log (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (* 3 (log (/ 1 (sqr b)))) into (* 3 (log (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 1 (sqr b))))) into (pow (/ 1 (sqr b)) 3) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]taylor: Taking taylor expansion of (/ (+ (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))))) (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) in a * [misc]taylor: Taking taylor expansion of (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) 0) into (- (* 2 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (* 2 (log a)))) into (* -6 (log a)) * [misc]backup-simplify: Simplify (exp (* -6 (log a))) into (pow a -6) * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 b)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (log (/ 1 (sqr b))) into (log (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (* 3 (log (/ 1 (sqr b)))) into (* 3 (log (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 1 (sqr b))))) into (pow (/ 1 (sqr b)) 3) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 1)) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ (* 4 2) (* 0 1)) into 8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 8) (* 0 4)) into 8 * [misc]backup-simplify: Simplify (+ 0 8) into 8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (- (/ 8 1) (+ (* 4 (/ 1 1)))) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (+ (* 0 2) (* 0 1))) into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr b))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 (sqr b)))) (+ (* 0 0) (* (- (/ 1 (sqr b))) 1))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ (* 1 4) (+ (* 0 8) (* (- (* 2 (/ 1 (sqr b)))) 4))) into (- 4 (* 8 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ 0 (- 4 (* 8 (/ 1 (sqr b))))) into (- 4 (* 8 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* (/ 1 (sqr b)) -3) into (/ -3 (sqr b)) * [misc]backup-simplify: Simplify (- (/ -3 (sqr b))) into (* 3 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (* 3 (/ 1 (sqr b)))) into (* 3 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr b))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 (sqr b)))) (+ (* 0 0) (* (- (/ 1 (sqr b))) 1))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ (* 1 (* 3 (/ 1 (sqr b)))) (+ (* 0 1) (* (- (* 2 (/ 1 (sqr b)))) 1))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (- (/ (- 4 (* 8 (/ 1 (sqr b)))) 1) (+ (* 4 (/ (/ 1 (sqr b)) 1)) (* 4 (/ 1 1)))) into (- (* 12 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (- (* 12 (/ 1 (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (- 12) into -12 * [misc]backup-simplify: Simplify -12 into -12 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 1) (+ (* 0 2) (* 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (sqr b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* (- (/ 1 (sqr b))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 4) (+ (* (- (* 2 (/ 1 (sqr b)))) 8) (* 0 4)))) into (- (* 16 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 16 (/ 1 (sqr b))))) into (- (* 16 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 1) (* 0 -3)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr b))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (sqr b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* (- (/ 1 (sqr b))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 (sqr b)))) (+ (* 0 (* 3 (/ 1 (sqr b)))) (+ (* (- (* 2 (/ 1 (sqr b)))) 1) (* 0 1)))) into (- (* 3 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (- (/ (- (* 16 (/ 1 (sqr b)))) 1) (+ (* 4 (/ (- (* 3 (/ 1 (sqr b)))) 1)) (* 4 (/ (/ 1 (sqr b)) 1)) (* (- (* 12 (/ 1 (sqr b)))) (/ 1 1)))) into (* 4 (/ 1 (sqr b))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 4 (sqr (* (/ 1 (/ 1 b)) 1))) (+ (* 4 (pow (* 1 (/ 1 (/ 1 a))) 3)) (* -12 (* (/ 1 (sqr (/ 1 b))) (/ 1 (/ 1 a)))))) into (- (+ (* 4 (pow a 3)) (* 4 (sqr b))) (* 12 (* (sqr b) a))) * [misc]approximate: Taking taylor expansion of (/ (+ (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))))) (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))))) (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) in b * [misc]taylor: Taking taylor expansion of (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 (- a))) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (log (/ 1 (sqr a))) into (log (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (* 3 (log (/ 1 (sqr a)))) into (* 3 (log (/ 1 (sqr a)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 1 (sqr a))))) into (pow (/ 1 (sqr a)) 3) * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 (- b))) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) 0) into (- (* 2 (log b))) * [misc]backup-simplify: Simplify (* 3 (- (* 2 (log b)))) into (* -6 (log b)) * [misc]backup-simplify: Simplify (exp (* -6 (log b))) into (pow b -6) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) in b * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) in b * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) in b * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ -1 a)) into (/ -3 a) * [misc]backup-simplify: Simplify (- (/ -3 a)) into (* 3 (/ 1 a)) * [misc]backup-simplify: Simplify (+ 1 (* 3 (/ 1 a))) into (+ 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (+ 1 (* 3 (/ 1 a)))) into (+ 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (+ 1 (* 3 (/ 1 a))) (+ 1 (* 3 (/ 1 a)))) into (sqr (+ 1 (* 3 (/ 1 a)))) * [misc]backup-simplify: Simplify (- (sqr (+ 1 (* 3 (/ 1 a))))) into (- (+ 1 (+ (* 6 (/ 1 a)) (* 9 (/ 1 (sqr a)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ 1 (+ (* 6 (/ 1 a)) (* 9 (/ 1 (sqr a))))))) into (- (+ 1 (+ (* 6 (/ 1 a)) (* 9 (/ 1 (sqr a)))))) * [misc]backup-simplify: Simplify (* 4 (- (+ 1 (+ (* 6 (/ 1 a)) (* 9 (/ 1 (sqr a))))))) into (* -4 (+ 1 (+ (* 6 (/ 1 a)) (* 9 (/ 1 (sqr a)))))) * [misc]backup-simplify: Simplify (* 1 (* -4 (+ 1 (+ (* 6 (/ 1 a)) (* 9 (/ 1 (sqr a))))))) into (* -4 (+ 1 (+ (* 6 (/ 1 a)) (* 9 (/ 1 (sqr a)))))) * [misc]backup-simplify: Simplify (+ 0 (* -4 (+ 1 (+ (* 6 (/ 1 a)) (* 9 (/ 1 (sqr a))))))) into (- (+ 4 (+ (* 24 (/ 1 a)) (* 36 (/ 1 (sqr a)))))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ -1 a)) into (/ -3 a) * [misc]backup-simplify: Simplify (- (/ -3 a)) into (* 3 (/ 1 a)) * [misc]backup-simplify: Simplify (+ 1 (* 3 (/ 1 a))) into (+ 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (+ 1 (* 3 (/ 1 a)))) into (+ 1 (* 3 (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ 1 (* 3 (/ 1 a)))) into (- (+ 1 (* 3 (/ 1 a)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ 1 (* 3 (/ 1 a))))) into (- (+ 1 (* 3 (/ 1 a)))) * [misc]backup-simplify: Simplify (* 1 (- (+ 1 (* 3 (/ 1 a))))) into (* -1 (+ 1 (* 3 (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (- (+ 4 (+ (* 24 (/ 1 a)) (* 36 (/ 1 (sqr a)))))) (* -1 (+ 1 (* 3 (/ 1 a))))) into (/ (+ 4 (+ (* 24 (/ 1 a)) (* 36 (/ 1 (sqr a))))) (+ 1 (* 3 (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))))) (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) in a * [misc]taylor: Taking taylor expansion of (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 (- a))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) 0) into (- (* 2 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (* 2 (log a)))) into (* -6 (log a)) * [misc]backup-simplify: Simplify (exp (* -6 (log a))) into (pow a -6) * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 (- b))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (log (/ 1 (sqr b))) into (log (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (* 3 (log (/ 1 (sqr b)))) into (* 3 (log (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 1 (sqr b))))) into (pow (/ 1 (sqr b)) 3) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 4 -1) into -4 * [misc]taylor: Taking taylor expansion of (/ (+ (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))))) (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) in a * [misc]taylor: Taking taylor expansion of (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 (- a))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) 0) into (- (* 2 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (* 2 (log a)))) into (* -6 (log a)) * [misc]backup-simplify: Simplify (exp (* -6 (log a))) into (pow a -6) * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 (- b))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (log (/ 1 (sqr b))) into (log (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (* 3 (log (/ 1 (sqr b)))) into (* 3 (log (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 1 (sqr b))))) into (pow (/ 1 (sqr b)) 3) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 4 -1) into -4 * [misc]taylor: Taking taylor expansion of -4 in b * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1)) into 1 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 1 -1)) into -2 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (+ (* 4 -2) (* 0 1)) into -8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -8) (* 0 4)) into -8 * [misc]backup-simplify: Simplify (+ 0 -8) into -8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1)) into 1 * [misc]backup-simplify: Simplify (- (/ -8 -1) (+ (* -4 (/ 1 -1)))) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (+ (* 0 -2) (* 0 1))) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr b))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 (sqr b)))) (+ (* 0 0) (* (- (/ 1 (sqr b))) 1))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ (* 1 4) (+ (* 0 -8) (* (- (* 2 (/ 1 (sqr b)))) 4))) into (- 4 (* 8 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ 0 (- 4 (* 8 (/ 1 (sqr b))))) into (- 4 (* 8 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (- -3) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* (/ 1 (sqr b)) 3) into (/ 3 (sqr b)) * [misc]backup-simplify: Simplify (- (/ 3 (sqr b))) into (- (* 3 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 3 (/ 1 (sqr b))))) into (- (* 3 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr b))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 (sqr b)))) (+ (* 0 0) (* (- (/ 1 (sqr b))) 1))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 3 (/ 1 (sqr b))))) (+ (* 0 1) (* (- (* 2 (/ 1 (sqr b)))) -1))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (- (/ (- 4 (* 8 (/ 1 (sqr b)))) -1) (+ (* -4 (/ (- (/ 1 (sqr b))) -1)) (* 4 (/ 1 -1)))) into (* 12 (/ 1 (sqr b))) * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 1) (+ (* 0 -2) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (sqr b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* (- (/ 1 (sqr b))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 4) (+ (* (- (* 2 (/ 1 (sqr b)))) -8) (* 0 4)))) into (* 16 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (* 16 (/ 1 (sqr b)))) into (* 16 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 1) (* 0 3)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr b))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (sqr b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* (- (/ 1 (sqr b))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 (sqr b)))) (+ (* 0 (- (* 3 (/ 1 (sqr b))))) (+ (* (- (* 2 (/ 1 (sqr b)))) 1) (* 0 -1)))) into (- (* 3 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (- (/ (* 16 (/ 1 (sqr b))) -1) (+ (* -4 (/ (- (* 3 (/ 1 (sqr b)))) -1)) (* 4 (/ (- (/ 1 (sqr b))) -1)) (* (* 12 (/ 1 (sqr b))) (/ 1 -1)))) into (* 4 (/ 1 (sqr b))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 4 (sqr (* (/ 1 (/ 1 (- b))) 1))) (+ (* -4 (pow (* 1 (/ 1 (/ 1 (- a)))) 3)) (* 12 (* (/ 1 (sqr (/ 1 (- b)))) (/ 1 (/ 1 (- a))))))) into (- (+ (* 4 (pow a 3)) (* 4 (sqr b))) (* 12 (* (sqr b) a))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (* (sqr a) (sqr b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr a) (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr a) (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (sqr a) (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 0 (sqr b)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (sqr b))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr b)))) into (sqr b) * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (sqr b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) 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 (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))))) into (* (sqr b) (sqr a)) * [misc]approximate: Taking taylor expansion of (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (sqr b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) 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) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))))) into (* (sqr b) (sqr a)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (* (sqr a) (sqr b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr a) (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr a) (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (sqr a) (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 0 (sqr b)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (sqr b))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr b)))) into (sqr b) * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (sqr b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) 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 (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))))) into (* (sqr b) (sqr a)) * [misc]approximate: Taking taylor expansion of (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (sqr b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) 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) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))))) into (* (sqr b) (sqr a)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) in b * [misc]taylor: Taking taylor expansion of (- (pow (sqr a) 3) (pow (sqr b) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (sqr a) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr a)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (log (sqr a)) into (log (sqr a)) * [misc]backup-simplify: Simplify (* 3 (log (sqr a))) into (* 3 (log (sqr a))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqr a)))) into (pow (sqr a) 3) * [misc]taylor: Taking taylor expansion of (pow (sqr b) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr b))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log b)) 0) into (* 2 (log b)) * [misc]backup-simplify: Simplify (* 3 (* 2 (log b))) into (* 6 (log b)) * [misc]backup-simplify: Simplify (exp (* 6 (log b))) into (pow b 6) * [misc]taylor: Taking taylor expansion of (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) in b * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) in b * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (sqr (sqr b)) (* (sqr a) (sqr b))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr a) (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (* (sqr a) (+ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in b * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr (* (sqr b) (- 1 (* 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) in a * [misc]taylor: Taking taylor expansion of (- (pow (sqr a) 3) (pow (sqr b) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (sqr a) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr a)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (* 3 (* 2 (log a))) into (* 6 (log a)) * [misc]backup-simplify: Simplify (exp (* 6 (log a))) into (pow a 6) * [misc]taylor: Taking taylor expansion of (pow (sqr b) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr b)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr b))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (log (sqr b)) into (log (sqr b)) * [misc]backup-simplify: Simplify (* 3 (log (sqr b))) into (* 3 (log (sqr b))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqr b)))) into (pow (sqr b) 3) * [misc]taylor: Taking taylor expansion of (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqr b)) (* (sqr a) (sqr b))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (sqr a) (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (* (sqr a) (+ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) in a * [misc]taylor: Taking taylor expansion of (- (pow (sqr a) 3) (pow (sqr b) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (sqr a) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr a)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (* 3 (* 2 (log a))) into (* 6 (log a)) * [misc]backup-simplify: Simplify (exp (* 6 (log a))) into (pow a 6) * [misc]taylor: Taking taylor expansion of (pow (sqr b) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr b)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr b))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (log (sqr b)) into (log (sqr b)) * [misc]backup-simplify: Simplify (* 3 (log (sqr b))) into (* 3 (log (sqr b))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqr b)))) into (pow (sqr b) 3) * [misc]taylor: Taking taylor expansion of (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqr b)) (* (sqr a) (sqr b))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (sqr a) (sqr b)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (* (sqr a) (+ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ 1 a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (* (sqr b) (- 1 (* 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr b) (- 1 (* 3 a))) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 1 (* 3 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (pow (sqr b) 3)) into (- (pow b 6)) * [misc]backup-simplify: Simplify (+ (pow a 6) (- (pow b 6))) into (- (pow a 6) (pow b 6)) * [misc]backup-simplify: Simplify (* (- (pow a 6) (pow b 6)) (- (pow a 6) (pow b 6))) into (sqr (- (pow a 6) (pow b 6))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (sqr b) 1) into (sqr b) * [misc]backup-simplify: Simplify (- (sqr b)) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr b))) into (- (sqr b)) * [misc]backup-simplify: Simplify (* (sqr (- (pow a 6) (pow b 6))) (- (sqr b))) into (* -1 (* (sqr (- (pow a 6) (pow b 6))) (sqr b))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* (sqr b) (sqr b)) into (pow b 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 0 (sqr b)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (* (pow b 4) (pow b 4)) into (pow b 8) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (sqr b) 1) into (sqr b) * [misc]backup-simplify: Simplify (* (sqr b) (sqr b)) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (- (pow b 4))) into (- (pow b 4)) * [misc]backup-simplify: Simplify (* 4 (- (pow b 4))) into (* -4 (pow b 4)) * [misc]backup-simplify: Simplify (* (pow b 8) (* -4 (pow b 4))) into (* -4 (pow b 12)) * [misc]backup-simplify: Simplify (+ (* -1 (* (sqr (- (pow a 6) (pow b 6))) (sqr b))) (* -4 (pow b 12))) into (- (* 2 (* (pow b 8) (pow a 6))) (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (pow b 8) (pow a 6))) (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12))))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow b 8) (pow a 6))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow b 8) (pow a 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of (pow a 6) in b * [misc]taylor: Taking taylor expansion of (exp (* 6 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 6 (log a)) in b * [misc]taylor: Taking taylor expansion of 6 in b * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 6 (log a)) into (* 6 (log a)) * [misc]backup-simplify: Simplify (exp (* 6 (log a))) into (pow a 6) * [misc]taylor: Taking taylor expansion of (+ (* (sqr b) (pow a 12)) (+ (pow b 14) (* 4 (pow b 12)))) in b * [misc]taylor: Taking taylor expansion of (* (sqr b) (pow a 12)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 12) in b * [misc]taylor: Taking taylor expansion of (exp (* 12 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 12 (log a)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 12 (log a)) into (* 12 (log a)) * [misc]backup-simplify: Simplify (exp (* 12 (log a))) into (pow a 12) * [misc]taylor: Taking taylor expansion of (+ (pow b 14) (* 4 (pow b 12))) in b * [misc]taylor: Taking taylor expansion of (pow b 14) in b * [misc]taylor: Taking taylor expansion of (* 4 (pow b 12)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 (pow a 12)) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) -3) (* 0 1)) into (- (* 3 (sqr b))) * [misc]backup-simplify: Simplify (- (- (* 3 (sqr b)))) into (* 3 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (* 3 (sqr b))) into (* 3 (sqr b)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 2 (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqr b) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqr b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqr b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a 6) (pow b 6)) 0) (* 0 (- (pow a 6) (pow b 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr (- (pow a 6) (pow b 6))) (* 3 (sqr b))) (* 0 (- (sqr b)))) into (- (+ (* 3 (* (sqr b) (pow a 12))) (* 3 (pow b 14))) (* 6 (* (pow b 8) (pow a 6)))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) -3) (* 0 1)) into (- (* 3 (sqr b))) * [misc]backup-simplify: Simplify (+ (* (sqr b) (- (* 3 (sqr b)))) (* (- (* 3 (sqr b))) (sqr b))) into (- (* 6 (pow b 4))) * [misc]backup-simplify: Simplify (- (- (* 6 (pow b 4)))) into (* 6 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (* 6 (pow b 4))) into (* 6 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* 4 (* 6 (pow b 4))) (* 0 (- (pow b 4)))) into (* 24 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (* 0 (sqr b))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (sqr b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (* 0 (pow b 4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 8) (* 24 (pow b 4))) (* 0 (* -4 (pow b 4)))) into (* 24 (pow b 12)) * [misc]backup-simplify: Simplify (+ (- (+ (* 3 (* (sqr b) (pow a 12))) (* 3 (pow b 14))) (* 6 (* (pow b 8) (pow a 6)))) (* 24 (pow b 12))) into (- (+ (* 3 (* (sqr b) (pow a 12))) (+ (* 3 (pow b 14)) (* 24 (pow b 12)))) (* 6 (* (pow b 8) (pow a 6)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 3 (* (sqr b) (pow a 12))) (+ (* 3 (pow b 14)) (* 24 (pow b 12)))) (* 6 (* (pow b 8) (pow a 6)))) in b * [misc]taylor: Taking taylor expansion of (+ (* 3 (* (sqr b) (pow a 12))) (+ (* 3 (pow b 14)) (* 24 (pow b 12)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (* (sqr b) (pow a 12))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (sqr b) (pow a 12)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 12) in b * [misc]taylor: Taking taylor expansion of (exp (* 12 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 12 (log a)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 12 (log a)) into (* 12 (log a)) * [misc]backup-simplify: Simplify (exp (* 12 (log a))) into (pow a 12) * [misc]taylor: Taking taylor expansion of (+ (* 3 (pow b 14)) (* 24 (pow b 12))) in b * [misc]taylor: Taking taylor expansion of (* 3 (pow b 14)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 14) in b * [misc]taylor: Taking taylor expansion of (* 24 (pow b 12)) in b * [misc]taylor: Taking taylor expansion of 24 in b * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]taylor: Taking taylor expansion of (* 6 (* (pow b 8) (pow a 6))) in b * [misc]taylor: Taking taylor expansion of 6 in b * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (pow b 8) (pow a 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of (pow a 6) in b * [misc]taylor: Taking taylor expansion of (exp (* 6 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 6 (log a)) in b * [misc]taylor: Taking taylor expansion of 6 in b * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 6 (log a)) into (* 6 (log a)) * [misc]backup-simplify: Simplify (exp (* 6 (log a))) into (pow a 6) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 (pow a 12)) into 0 * [misc]backup-simplify: Simplify (* 3 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 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow a 12))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 -3) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 2 (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqr b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqr b) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (sqr b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqr b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a 6) (pow b 6)) 0) (+ (* 0 0) (* 0 (- (pow a 6) (pow b 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr (- (pow a 6) (pow b 6))) 1) (+ (* 0 (* 3 (sqr b))) (* 0 (- (sqr b))))) into (- (+ (pow a 12) (pow b 12)) (* 2 (* (pow b 6) (pow a 6)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* 0 0) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 -3) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* (- (* 3 (sqr b))) (- (* 3 (sqr b)))) (* 0 (sqr b)))) into (* 9 (pow b 4)) * [misc]backup-simplify: Simplify (- (* 9 (pow b 4))) into (- (* 9 (pow b 4))) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (pow b 4)))) into (- (* 9 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 9 (pow b 4)))) (+ (* 0 (* 6 (pow b 4))) (* 0 (- (pow b 4))))) into (- (* 36 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* 0 0) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (* 0 (sqr b)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr b)))) into (sqr b) * [misc]backup-simplify: Simplify (- (sqr b)) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr b))) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr b))) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ (* (pow b 4) (- (sqr b))) (+ (* 0 0) (* (- (sqr b)) (pow b 4)))) into (- (* 2 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* (pow b 8) (- (* 36 (pow b 4)))) (+ (* 0 (* 24 (pow b 4))) (* (- (* 2 (pow b 6))) (* -4 (pow b 4))))) into (- (* 8 (pow b 10)) (* 36 (pow b 12))) * [misc]backup-simplify: Simplify (+ (- (+ (pow a 12) (pow b 12)) (* 2 (* (pow b 6) (pow a 6)))) (- (* 8 (pow b 10)) (* 36 (pow b 12)))) into (- (+ (pow a 12) (* 8 (pow b 10))) (+ (* 35 (pow b 12)) (* 2 (* (pow b 6) (pow a 6))))) * [misc]taylor: Taking taylor expansion of (- (+ (pow a 12) (* 8 (pow b 10))) (+ (* 35 (pow b 12)) (* 2 (* (pow b 6) (pow a 6))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow a 12) (* 8 (pow b 10))) in b * [misc]taylor: Taking taylor expansion of (pow a 12) in b * [misc]taylor: Taking taylor expansion of (exp (* 12 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 12 (log a)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 12 (log a)) into (* 12 (log a)) * [misc]backup-simplify: Simplify (exp (* 12 (log a))) into (pow a 12) * [misc]taylor: Taking taylor expansion of (* 8 (pow b 10)) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]taylor: Taking taylor expansion of (+ (* 35 (pow b 12)) (* 2 (* (pow b 6) (pow a 6)))) in b * [misc]taylor: Taking taylor expansion of (* 35 (pow b 12)) in b * [misc]taylor: Taking taylor expansion of 35 in b * [misc]backup-simplify: Simplify 35 into 35 * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow b 6) (pow a 6))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow b 6) (pow a 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of (pow a 6) in b * [misc]taylor: Taking taylor expansion of (exp (* 6 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 6 (log a)) in b * [misc]taylor: Taking taylor expansion of 6 in b * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 6 (log a)) into (* 6 (log a)) * [misc]backup-simplify: Simplify (exp (* 6 (log a))) into (pow a 6) * [misc]backup-simplify: Simplify (+ (pow a 12) 0) into (pow a 12) * [misc]backup-simplify: Simplify (+ (pow a 12) 0) into (pow a 12) * [misc]backup-simplify: Simplify (pow a 12) into (pow a 12) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow a 12))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 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 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (+ (* 0 0) (* 0 (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 12 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (pow a 12)))) into (pow a 12) * [misc]backup-simplify: Simplify (+ (pow a 12) 0) into (pow a 12) * [misc]backup-simplify: Simplify (- (pow a 12)) into (- (pow a 12)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 12))) into (- (pow a 12)) * [misc]backup-simplify: Simplify (- (pow a 12)) into (- (pow a 12)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1) (* 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqr b) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqr b) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqr b) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqr b)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqr b)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a 6) (pow b 6)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (pow a 6) (pow b 6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr (- (pow a 6) (pow b 6))) 1) (+ (* 0 1) (+ (* 0 (* 3 (sqr b))) (* 0 (- (sqr b)))))) into (- (+ (pow a 12) (pow b 12)) (* 2 (* (pow b 6) (pow a 6)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1) (* 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* 0 1) (+ (* 1 0) (* 1 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* (- (* 3 (sqr b))) 0) (+ (* 0 (- (* 3 (sqr b)))) (* 0 (sqr b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 (- (* 9 (pow b 4)))) (+ (* 0 (* 6 (pow b 4))) (* 0 (- (pow b 4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (+ (* 1 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr b))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 (- (sqr b))) (+ (* (- (sqr b)) 0) (* 0 (pow b 4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 8) 0) (+ (* 0 (- (* 36 (pow b 4)))) (+ (* (- (* 2 (pow b 6))) (* 24 (pow b 4))) (* 0 (* -4 (pow b 4)))))) into (- (* 48 (pow b 10))) * [misc]backup-simplify: Simplify (+ (- (+ (pow a 12) (pow b 12)) (* 2 (* (pow b 6) (pow a 6)))) (- (* 48 (pow b 10)))) into (- (+ (pow a 12) (pow b 12)) (+ (* 2 (* (pow b 6) (pow a 6))) (* 48 (pow b 10)))) * [misc]taylor: Taking taylor expansion of (- (+ (pow a 12) (pow b 12)) (+ (* 2 (* (pow b 6) (pow a 6))) (* 48 (pow b 10)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow a 12) (pow b 12)) in b * [misc]taylor: Taking taylor expansion of (pow a 12) in b * [misc]taylor: Taking taylor expansion of (exp (* 12 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 12 (log a)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 12 (log a)) into (* 12 (log a)) * [misc]backup-simplify: Simplify (exp (* 12 (log a))) into (pow a 12) * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow b 6) (pow a 6))) (* 48 (pow b 10))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow b 6) (pow a 6))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow b 6) (pow a 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of (pow a 6) in b * [misc]taylor: Taking taylor expansion of (exp (* 6 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 6 (log a)) in b * [misc]taylor: Taking taylor expansion of 6 in b * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 6 (log a)) into (* 6 (log a)) * [misc]backup-simplify: Simplify (exp (* 6 (log a))) into (pow a 6) * [misc]taylor: Taking taylor expansion of (* 48 (pow b 10)) in b * [misc]taylor: Taking taylor expansion of 48 in b * [misc]backup-simplify: Simplify 48 into 48 * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]backup-simplify: Simplify (+ (pow a 12) 0) into (pow a 12) * [misc]backup-simplify: Simplify (+ (pow a 12) 0) into (pow a 12) * [misc]backup-simplify: Simplify (pow a 12) into (pow a 12) * [misc]backup-simplify: Simplify (+ (* (pow a 12) (pow (* 1 a) 3)) (+ (* (- (pow a 12)) (sqr (* b 1))) (* (pow a 12) (sqr (* 1 a))))) into (- (+ (pow a 15) (pow a 14)) (* (sqr b) (pow a 12))) * [misc]approximate: Taking taylor expansion of (+ (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) in b * [misc]taylor: Taking taylor expansion of (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 a)) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (log (/ 1 (sqr a))) into (log (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (* 3 (log (/ 1 (sqr a)))) into (* 3 (log (/ 1 (sqr a)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 1 (sqr a))))) into (pow (/ 1 (sqr a)) 3) * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 b)) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) 0) into (- (* 2 (log b))) * [misc]backup-simplify: Simplify (* 3 (- (* 2 (log b)))) into (* -6 (log b)) * [misc]backup-simplify: Simplify (exp (* -6 (log b))) into (pow b -6) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 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 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) in b * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) in b * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 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 (* 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) in a * [misc]taylor: Taking taylor expansion of (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) 0) into (- (* 2 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (* 2 (log a)))) into (* -6 (log a)) * [misc]backup-simplify: Simplify (exp (* -6 (log a))) into (pow a -6) * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 b)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (log (/ 1 (sqr b))) into (log (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (* 3 (log (/ 1 (sqr b)))) into (* 3 (log (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 1 (sqr b))))) into (pow (/ 1 (sqr b)) 3) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3))) in a * [misc]taylor: Taking taylor expansion of (- (pow (sqr (/ 1 a)) 3) (pow (sqr (/ 1 b)) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) 0) into (- (* 2 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (* 2 (log a)))) into (* -6 (log a)) * [misc]backup-simplify: Simplify (exp (* -6 (log a))) into (pow a -6) * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 b)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (log (/ 1 (sqr b))) into (log (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (* 3 (log (/ 1 (sqr b)))) into (* 3 (log (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 1 (sqr b))))) into (pow (/ 1 (sqr b)) 3) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 a))) (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 b))) (* (sqr (/ 1 a)) (sqr (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (sqr (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 1)) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ (* 4 2) (* 0 1)) into 8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 8) (* 0 4)) into 8 * [misc]backup-simplify: Simplify (+ 0 8) into 8 * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (+ (* 0 2) (* 0 1))) into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr b))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 (sqr b)))) (+ (* 0 0) (* (- (/ 1 (sqr b))) 1))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ (* 1 4) (+ (* 0 8) (* (- (* 2 (/ 1 (sqr b)))) 4))) into (- 4 (* 8 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ 0 (- 4 (* 8 (/ 1 (sqr b))))) into (- 4 (* 8 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (- 4 (* 8 (/ 1 (sqr b)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 1) (+ (* 0 2) (* 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (sqr b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* (- (/ 1 (sqr b))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 4) (+ (* (- (* 2 (/ 1 (sqr b)))) 8) (* 0 4)))) into (- (* 16 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 16 (/ 1 (sqr b))))) into (- (* 16 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (- (* 16 (/ 1 (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (* 16 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 16 in b * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* (/ 1 (sqr b)) -3) into (/ -3 (sqr b)) * [misc]backup-simplify: Simplify (* (/ -3 (sqr b)) (/ -3 (sqr b))) into (/ 9 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 9 (pow b 4))) into (- (* 9 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (/ 1 (pow b 4))))) into (- (* 9 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 2) (* 0 1))))) into (- (* 36 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* (/ 1 (sqr b)) (/ 1 (sqr b))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) (- (/ 1 (sqr b)))) (+ (* 0 0) (* (/ 1 (pow b 4)) 1))))) into (* 3 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 36 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (sqr b)))) 4) (+ (* 0 8) (* (* 3 (/ 1 (pow b 4))) 4))))) into (- (+ (* 24 (/ 1 (pow b 4))) (* 8 (/ 1 (sqr b))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 24 (/ 1 (pow b 4))) (* 8 (/ 1 (sqr b)))))) into (- (+ (* 24 (/ 1 (pow b 4))) (* 8 (/ 1 (sqr b))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 24 (/ 1 (pow b 4))) (* 8 (/ 1 (sqr b))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 24 (/ 1 (pow b 4))) (* 8 (/ 1 (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (* 24 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 24 in b * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 1) (* 0 -3)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ (* (/ -3 (sqr b)) (/ 1 (sqr b))) (* (/ 1 (sqr b)) (/ -3 (sqr b)))) into (- (* 6 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (- (* 6 (/ 1 (pow b 4))))) into (* 6 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 0 (* 6 (/ 1 (pow b 4)))) into (* 6 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* 4 (* 6 (/ 1 (pow b 4)))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 2) (* 0 1)))))) into (* 24 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (* 0 (/ 1 (sqr b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* (- (/ 1 (sqr b))) 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* (/ 1 (pow b 4)) 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 24 (/ 1 (pow b 4)))) (+ (* 0 (- (* 36 (/ 1 (pow b 4))))) (+ (* (- (* 2 (/ 1 (sqr b)))) 0) (+ (* 0 4) (+ (* (* 3 (/ 1 (pow b 4))) 8) (* 0 4)))))) into (* 48 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 0 (* 48 (/ 1 (pow b 4)))) into (* 48 (/ 1 (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 48 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 48 in b * [misc]backup-simplify: Simplify 48 into 48 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 1) (* 0 -3))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -3 (sqr b)) 0) (+ (* (/ 1 (sqr b)) (/ 1 (sqr b))) (* 0 (/ -3 (sqr b))))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow b 4)))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* 4 (- (/ 1 (pow b 4)))) (+ (* 0 (* 6 (/ 1 (pow b 4)))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 2) (* 0 1))))))) into (- (* 4 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) (/ 1 (pow b 4))) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) (- (/ 1 (sqr b)))) (+ (* 0 0) (* 0 1))))))) into (- (* 2 (/ 1 (pow b 6)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 4 (/ 1 (pow b 4))))) (+ (* 0 (* 24 (/ 1 (pow b 4)))) (+ (* (- (* 2 (/ 1 (sqr b)))) (- (* 36 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* (* 3 (/ 1 (pow b 4))) 4) (+ (* 0 8) (* (- (* 2 (/ 1 (pow b 6)))) 4))))))) into (+ (* 8 (/ 1 (pow b 4))) (* 64 (/ 1 (pow b 6)))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 8 (/ 1 (pow b 4))) (* 64 (/ 1 (pow b 6))))) into (+ (* 8 (/ 1 (pow b 4))) (* 64 (/ 1 (pow b 6)))) * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ 1 (pow b 4))) (* 64 (/ 1 (pow b 6)))) in b * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 64 (/ 1 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of 64 in b * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -3 (sqr b)) 0) (+ (* (/ 1 (sqr b)) 0) (+ (* 0 (/ 1 (sqr b))) (* 0 (/ -3 (sqr b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 (* 6 (/ 1 (pow b 4)))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 2) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (* 4 (/ 1 (pow b 4))))) (+ (* (- (* 2 (/ 1 (sqr b)))) (* 24 (/ 1 (pow b 4)))) (+ (* 0 (- (* 36 (/ 1 (pow b 4))))) (+ (* (* 3 (/ 1 (pow b 4))) 0) (+ (* 0 4) (+ (* (- (* 2 (/ 1 (pow b 6)))) 8) (* 0 4)))))))) into (- (* 64 (/ 1 (pow b 6)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 64 (/ 1 (pow b 6))))) into (- (* 64 (/ 1 (pow b 6)))) * [misc]taylor: Taking taylor expansion of (- (* 64 (/ 1 (pow b 6)))) in b * [misc]taylor: Taking taylor expansion of (* 64 (/ 1 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of 64 in b * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -3 (sqr b)) 0) (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (sqr b))) (* 0 (/ -3 (sqr b))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 (* 6 (/ 1 (pow b 4)))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 2) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) (/ 1 (pow b 4))) (+ (* 0 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* 0 0) (* 0 1))))))))) into (/ 1 (pow b 8)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (sqr b)))) (- (* 4 (/ 1 (pow b 4))))) (+ (* 0 (* 24 (/ 1 (pow b 4)))) (+ (* (* 3 (/ 1 (pow b 4))) (- (* 36 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 6)))) 4) (+ (* 0 8) (* (/ 1 (pow b 8)) 4))))))))) into (- (* 104 (/ 1 (pow b 8)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 104 (/ 1 (pow b 8))))) into (- (* 104 (/ 1 (pow b 8)))) * [misc]taylor: Taking taylor expansion of (- (* 104 (/ 1 (pow b 8)))) in b * [misc]taylor: Taking taylor expansion of (* 104 (/ 1 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of 104 in b * [misc]backup-simplify: Simplify 104 into 104 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 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 (+ (* 3 0) (+ (* 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 (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -3 (sqr b)) 0) (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (sqr b))) (* 0 (/ -3 (sqr b)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 (* 6 (/ 1 (pow b 4)))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 2) (* 0 1)))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* 0 0) (* 0 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (sqr b)))) 0) (+ (* 0 (- (* 4 (/ 1 (pow b 4))))) (+ (* (* 3 (/ 1 (pow b 4))) (* 24 (/ 1 (pow b 4)))) (+ (* 0 (- (* 36 (/ 1 (pow b 4))))) (+ (* (- (* 2 (/ 1 (pow b 6)))) 0) (+ (* 0 4) (+ (* (/ 1 (pow b 8)) 8) (* 0 4)))))))))) into (* 80 (/ 1 (pow b 8))) * [misc]backup-simplify: Simplify (+ 0 (* 80 (/ 1 (pow b 8)))) into (* 80 (/ 1 (pow b 8))) * [misc]taylor: Taking taylor expansion of (* 80 (/ 1 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of 80 in b * [misc]backup-simplify: Simplify 80 into 80 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 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 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -3 (sqr b)) 0) (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (sqr b))) (* 0 (/ -3 (sqr b))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 (* 6 (/ 1 (pow b 4)))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 2) (* 0 1))))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* 0 0) (* 0 1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (sqr b)))) 0) (+ (* 0 0) (+ (* (* 3 (/ 1 (pow b 4))) (- (* 4 (/ 1 (pow b 4))))) (+ (* 0 (* 24 (/ 1 (pow b 4)))) (+ (* (- (* 2 (/ 1 (pow b 6)))) (- (* 36 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* (/ 1 (pow b 8)) 4) (+ (* 0 8) (* 0 4))))))))))) into (- (* 72 (/ 1 (pow b 10))) (* 8 (/ 1 (pow b 8)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 72 (/ 1 (pow b 10))) (* 8 (/ 1 (pow b 8))))) into (- (* 72 (/ 1 (pow b 10))) (* 8 (/ 1 (pow b 8)))) * [misc]taylor: Taking taylor expansion of (- (* 72 (/ 1 (pow b 10))) (* 8 (/ 1 (pow b 8)))) in b * [misc]taylor: Taking taylor expansion of (* 72 (/ 1 (pow b 10))) in b * [misc]taylor: Taking taylor expansion of 72 in b * [misc]backup-simplify: Simplify 72 into 72 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 10)) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (pow (/ 1 (sqr b)) 3)) into (- (/ 1 (pow b 6))) * [misc]backup-simplify: Simplify (+ (pow a -6) (- (/ 1 (pow b 6)))) into (- (pow a -6) (/ 1 (pow b 6))) * [misc]backup-simplify: Simplify (* (- (pow a -6) (/ 1 (pow b 6))) (- (pow a -6) (/ 1 (pow b 6)))) into (sqr (- (pow a -6) (/ 1 (pow b 6)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (sqr (- (pow a -6) (/ 1 (pow b 6)))) 1) into (sqr (- (pow a -6) (/ 1 (pow b 6)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -3)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -3 (sqr b)) 0) (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (sqr b))) (* 0 (/ -3 (sqr b)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 (* 6 (/ 1 (pow b 4)))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 2) (* 0 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* 0 0) (* 0 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (sqr b)))) 0) (+ (* 0 0) (+ (* (* 3 (/ 1 (pow b 4))) 0) (+ (* 0 (- (* 4 (/ 1 (pow b 4))))) (+ (* (- (* 2 (/ 1 (pow b 6)))) (* 24 (/ 1 (pow b 4)))) (+ (* 0 (- (* 36 (/ 1 (pow b 4))))) (+ (* (/ 1 (pow b 8)) 0) (+ (* 0 4) (+ (* 0 8) (* 0 4)))))))))))) into (- (* 48 (/ 1 (pow b 10)))) * [misc]backup-simplify: Simplify (+ (sqr (- (pow a -6) (/ 1 (pow b 6)))) (- (* 48 (/ 1 (pow b 10))))) into (- (+ (/ 1 (pow b 12)) (/ 1 (pow a 12))) (+ (* 48 (/ 1 (pow b 10))) (* 2 (/ 1 (* (pow b 6) (pow a 6)))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 12)) (/ 1 (pow a 12))) (+ (* 48 (/ 1 (pow b 10))) (* 2 (/ 1 (* (pow b 6) (pow a 6)))))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 12)) (/ 1 (pow a 12))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 12)) in b * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 12)) in b * [misc]taylor: Taking taylor expansion of (pow a 12) in b * [misc]taylor: Taking taylor expansion of (exp (* 12 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 12 (log a)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 12 (log a)) into (* 12 (log a)) * [misc]backup-simplify: Simplify (exp (* 12 (log a))) into (pow a 12) * [misc]backup-simplify: Simplify (/ 1 (pow a 12)) into (/ 1 (pow a 12)) * [misc]taylor: Taking taylor expansion of (+ (* 48 (/ 1 (pow b 10))) (* 2 (/ 1 (* (pow b 6) (pow a 6))))) in b * [misc]taylor: Taking taylor expansion of (* 48 (/ 1 (pow b 10))) in b * [misc]taylor: Taking taylor expansion of 48 in b * [misc]backup-simplify: Simplify 48 into 48 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 10)) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow b 6) (pow a 6)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow b 6) (pow a 6))) in b * [misc]taylor: Taking taylor expansion of (* (pow b 6) (pow a 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of (pow a 6) in b * [misc]taylor: Taking taylor expansion of (exp (* 6 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 6 (log a)) in b * [misc]taylor: Taking taylor expansion of 6 in b * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 6 (log a)) into (* 6 (log a)) * [misc]backup-simplify: Simplify (exp (* 6 (log a))) into (pow a 6) * [misc]backup-simplify: Simplify (* 1 (pow a 6)) into (pow a 6) * [misc]backup-simplify: Simplify (/ 1 (pow a 6)) into (/ 1 (pow a 6)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) 0) into (- (* 2 (log a))) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (* 2 (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -6 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqr b)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (/ 1 (sqr b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (/ 1 (sqr b))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a -6) (/ 1 (pow b 6))) 0) (* 0 (- (pow a -6) (/ 1 (pow b 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr (- (pow a -6) (/ 1 (pow b 6)))) 1) (* 0 1)) into (- (+ (/ 1 (pow b 12)) (/ 1 (pow a 12))) (* 2 (/ 1 (* (pow b 6) (pow a 6))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 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 (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -3))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -3 (sqr b)) 0) (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (sqr b))) (* 0 (/ -3 (sqr b))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 (* 6 (/ 1 (pow b 4)))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 2) (* 0 1))))))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* 0 0) (* 0 1))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (sqr b)))) 0) (+ (* 0 0) (+ (* (* 3 (/ 1 (pow b 4))) 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 6)))) (- (* 4 (/ 1 (pow b 4))))) (+ (* 0 (* 24 (/ 1 (pow b 4)))) (+ (* (/ 1 (pow b 8)) (- (* 36 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 4) (+ (* 0 8) (* 0 4))))))))))))) into (- (* 8 (/ 1 (pow b 10))) (* 36 (/ 1 (pow b 12)))) * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 (pow b 12)) (/ 1 (pow a 12))) (* 2 (/ 1 (* (pow b 6) (pow a 6))))) (- (* 8 (/ 1 (pow b 10))) (* 36 (/ 1 (pow b 12))))) into (- (+ (* 8 (/ 1 (pow b 10))) (/ 1 (pow a 12))) (+ (* 35 (/ 1 (pow b 12))) (* 2 (/ 1 (* (pow b 6) (pow a 6)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 8 (/ 1 (pow b 10))) (/ 1 (pow a 12))) (+ (* 35 (/ 1 (pow b 12))) (* 2 (/ 1 (* (pow b 6) (pow a 6)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ 1 (pow b 10))) (/ 1 (pow a 12))) in b * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow b 10))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 10)) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 12)) in b * [misc]taylor: Taking taylor expansion of (pow a 12) in b * [misc]taylor: Taking taylor expansion of (exp (* 12 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 12 (log a)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 12 (log a)) into (* 12 (log a)) * [misc]backup-simplify: Simplify (exp (* 12 (log a))) into (pow a 12) * [misc]backup-simplify: Simplify (/ 1 (pow a 12)) into (/ 1 (pow a 12)) * [misc]taylor: Taking taylor expansion of (+ (* 35 (/ 1 (pow b 12))) (* 2 (/ 1 (* (pow b 6) (pow a 6))))) in b * [misc]taylor: Taking taylor expansion of (* 35 (/ 1 (pow b 12))) in b * [misc]taylor: Taking taylor expansion of 35 in b * [misc]backup-simplify: Simplify 35 into 35 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 12)) in b * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow b 6) (pow a 6)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow b 6) (pow a 6))) in b * [misc]taylor: Taking taylor expansion of (* (pow b 6) (pow a 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of (pow a 6) in b * [misc]taylor: Taking taylor expansion of (exp (* 6 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 6 (log a)) in b * [misc]taylor: Taking taylor expansion of 6 in b * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 6 (log a)) into (* 6 (log a)) * [misc]backup-simplify: Simplify (exp (* 6 (log a))) into (pow a 6) * [misc]backup-simplify: Simplify (* 1 (pow a 6)) into (pow a 6) * [misc]backup-simplify: Simplify (/ 1 (pow a 6)) into (/ 1 (pow a 6)) * [misc]backup-simplify: Simplify (* 35 1) into 35 * [misc]backup-simplify: Simplify (+ 35 0) into 35 * [misc]backup-simplify: Simplify (- 35) into -35 * [misc]backup-simplify: Simplify (+ 0 -35) into -35 * [misc]backup-simplify: Simplify -35 into -35 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (* 72 1) into 72 * [misc]backup-simplify: Simplify (+ 72 0) into 72 * [misc]backup-simplify: Simplify 72 into 72 * [misc]backup-simplify: Simplify (+ (* 72 (sqr (* (pow (/ 1 b) -5) (/ 1 (sqr (/ 1 a)))))) (+ (* -35 (sqr (* (pow (/ 1 b) -6) (/ 1 (/ 1 a))))) (* 1 (pow (* (pow (/ 1 b) -4) (/ 1 (/ 1 a))) 3)))) into (- (+ (* 72 (* (pow b 10) (pow a 4))) (* (pow b 12) (pow a 3))) (* 35 (* (pow b 12) (sqr a)))) * [misc]approximate: Taking taylor expansion of (+ (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) in b * [misc]taylor: Taking taylor expansion of (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 (- a))) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (log (/ 1 (sqr a))) into (log (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (* 3 (log (/ 1 (sqr a)))) into (* 3 (log (/ 1 (sqr a)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 1 (sqr a))))) into (pow (/ 1 (sqr a)) 3) * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 (- b))) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) 0) into (- (* 2 (log b))) * [misc]backup-simplify: Simplify (* 3 (- (* 2 (log b)))) into (* -6 (log b)) * [misc]backup-simplify: Simplify (exp (* -6 (log b))) into (pow b -6) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) in b * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) in b * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) in a * [misc]taylor: Taking taylor expansion of (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 (- a))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) 0) into (- (* 2 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (* 2 (log a)))) into (* -6 (log a)) * [misc]backup-simplify: Simplify (exp (* -6 (log a))) into (pow a -6) * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 (- b))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (log (/ 1 (sqr b))) into (log (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (* 3 (log (/ 1 (sqr b)))) into (* 3 (log (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 1 (sqr b))))) into (pow (/ 1 (sqr b)) 3) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (+ (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3))) in a * [misc]taylor: Taking taylor expansion of (- (pow (sqr (/ 1 (- a))) 3) (pow (sqr (/ 1 (- b))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 (- a))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) 0) into (- (* 2 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (* 2 (log a)))) into (* -6 (log a)) * [misc]backup-simplify: Simplify (exp (* -6 (log a))) into (pow a -6) * [misc]taylor: Taking taylor expansion of (pow (sqr (/ 1 (- b))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqr (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (sqr (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (log (/ 1 (sqr b))) into (log (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (* 3 (log (/ 1 (sqr b)))) into (* 3 (log (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 1 (sqr b))))) into (pow (/ 1 (sqr b)) 3) * [misc]taylor: Taking taylor expansion of (- (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (+ (sqr (sqr (/ 1 (- a)))) (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- (sqr (sqr (/ 1 (- b)))) (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (sqr (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* 4 (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1)) into 1 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 1 -1)) into -2 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (+ (* 4 -2) (* 0 1)) into -8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -8) (* 0 4)) into -8 * [misc]backup-simplify: Simplify (+ 0 -8) into -8 * [misc]taylor: Taking taylor expansion of -8 in b * [misc]backup-simplify: Simplify -8 into -8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (+ (* 0 -2) (* 0 1))) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (sqr b))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr b))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 (sqr b)))) (+ (* 0 0) (* (- (/ 1 (sqr b))) 1))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ (* 1 4) (+ (* 0 -8) (* (- (* 2 (/ 1 (sqr b)))) 4))) into (- 4 (* 8 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ 0 (- 4 (* 8 (/ 1 (sqr b))))) into (- 4 (* 8 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (- 4 (* 8 (/ 1 (sqr b)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 1) (+ (* 0 -2) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (sqr b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* (- (/ 1 (sqr b))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 4) (+ (* (- (* 2 (/ 1 (sqr b)))) -8) (* 0 4)))) into (* 16 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (* 16 (/ 1 (sqr b)))) into (* 16 (/ 1 (sqr b))) * [misc]taylor: Taking taylor expansion of (* 16 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 16 in b * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (- -3) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* (/ 1 (sqr b)) 3) into (/ 3 (sqr b)) * [misc]backup-simplify: Simplify (* (/ 3 (sqr b)) (/ 3 (sqr b))) into (/ 9 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 9 (pow b 4))) into (- (* 9 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (/ 1 (pow b 4))))) into (- (* 9 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -2) (* 0 1))))) into (- (* 36 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (* (/ 1 (sqr b)) (/ 1 (sqr b))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) (- (/ 1 (sqr b)))) (+ (* 0 0) (* (/ 1 (pow b 4)) 1))))) into (* 3 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 36 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (sqr b)))) 4) (+ (* 0 -8) (* (* 3 (/ 1 (pow b 4))) 4))))) into (- (+ (* 24 (/ 1 (pow b 4))) (* 8 (/ 1 (sqr b))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 24 (/ 1 (pow b 4))) (* 8 (/ 1 (sqr b)))))) into (- (+ (* 24 (/ 1 (pow b 4))) (* 8 (/ 1 (sqr b))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 24 (/ 1 (pow b 4))) (* 8 (/ 1 (sqr b))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 24 (/ 1 (pow b 4))) (* 8 (/ 1 (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (* 24 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 24 in b * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 1) (* 0 3)) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ (* (/ 3 (sqr b)) (/ 1 (sqr b))) (* (/ 1 (sqr b)) (/ 3 (sqr b)))) into (* 6 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (* 6 (/ 1 (pow b 4)))) into (- (* 6 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 6 (/ 1 (pow b 4))))) into (- (* 6 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -2) (* 0 1)))))) into (- (* 24 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (* 0 (/ 1 (sqr b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* (- (/ 1 (sqr b))) 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* (/ 1 (pow b 4)) 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 24 (/ 1 (pow b 4))))) (+ (* 0 (- (* 36 (/ 1 (pow b 4))))) (+ (* (- (* 2 (/ 1 (sqr b)))) 0) (+ (* 0 4) (+ (* (* 3 (/ 1 (pow b 4))) -8) (* 0 4)))))) into (- (* 48 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 48 (/ 1 (pow b 4))))) into (- (* 48 (/ 1 (pow b 4)))) * [misc]taylor: Taking taylor expansion of (- (* 48 (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (* 48 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 48 in b * [misc]backup-simplify: Simplify 48 into 48 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 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 (- 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 (+ (* 3 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 1) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 3 (sqr b)) 0) (+ (* (/ 1 (sqr b)) (/ 1 (sqr b))) (* 0 (/ 3 (sqr b))))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow b 4)))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* 4 (- (/ 1 (pow b 4)))) (+ (* 0 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -2) (* 0 1))))))) into (- (* 4 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) (/ 1 (pow b 4))) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) (- (/ 1 (sqr b)))) (+ (* 0 0) (* 0 1))))))) into (- (* 2 (/ 1 (pow b 6)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 4 (/ 1 (pow b 4))))) (+ (* 0 (- (* 24 (/ 1 (pow b 4))))) (+ (* (- (* 2 (/ 1 (sqr b)))) (- (* 36 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* (* 3 (/ 1 (pow b 4))) 4) (+ (* 0 -8) (* (- (* 2 (/ 1 (pow b 6)))) 4))))))) into (+ (* 8 (/ 1 (pow b 4))) (* 64 (/ 1 (pow b 6)))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 8 (/ 1 (pow b 4))) (* 64 (/ 1 (pow b 6))))) into (+ (* 8 (/ 1 (pow b 4))) (* 64 (/ 1 (pow b 6)))) * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ 1 (pow b 4))) (* 64 (/ 1 (pow b 6)))) in b * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 64 (/ 1 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of 64 in b * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 3 (sqr b)) 0) (+ (* (/ 1 (sqr b)) 0) (+ (* 0 (/ 1 (sqr b))) (* 0 (/ 3 (sqr b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -2) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (* 4 (/ 1 (pow b 4))))) (+ (* (- (* 2 (/ 1 (sqr b)))) (- (* 24 (/ 1 (pow b 4))))) (+ (* 0 (- (* 36 (/ 1 (pow b 4))))) (+ (* (* 3 (/ 1 (pow b 4))) 0) (+ (* 0 4) (+ (* (- (* 2 (/ 1 (pow b 6)))) -8) (* 0 4)))))))) into (* 64 (/ 1 (pow b 6))) * [misc]backup-simplify: Simplify (+ 0 (* 64 (/ 1 (pow b 6)))) into (* 64 (/ 1 (pow b 6))) * [misc]taylor: Taking taylor expansion of (* 64 (/ 1 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of 64 in b * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 3 (sqr b)) 0) (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (sqr b))) (* 0 (/ 3 (sqr b))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -2) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) (/ 1 (pow b 4))) (+ (* 0 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* 0 0) (* 0 1))))))))) into (/ 1 (pow b 8)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (sqr b)))) (- (* 4 (/ 1 (pow b 4))))) (+ (* 0 (- (* 24 (/ 1 (pow b 4))))) (+ (* (* 3 (/ 1 (pow b 4))) (- (* 36 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 6)))) 4) (+ (* 0 -8) (* (/ 1 (pow b 8)) 4))))))))) into (- (* 104 (/ 1 (pow b 8)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 104 (/ 1 (pow b 8))))) into (- (* 104 (/ 1 (pow b 8)))) * [misc]taylor: Taking taylor expansion of (- (* 104 (/ 1 (pow b 8)))) in b * [misc]taylor: Taking taylor expansion of (* 104 (/ 1 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of 104 in b * [misc]backup-simplify: Simplify 104 into 104 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 3 (sqr b)) 0) (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (sqr b))) (* 0 (/ 3 (sqr b)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -2) (* 0 1)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* 0 0) (* 0 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (sqr b)))) 0) (+ (* 0 (- (* 4 (/ 1 (pow b 4))))) (+ (* (* 3 (/ 1 (pow b 4))) (- (* 24 (/ 1 (pow b 4))))) (+ (* 0 (- (* 36 (/ 1 (pow b 4))))) (+ (* (- (* 2 (/ 1 (pow b 6)))) 0) (+ (* 0 4) (+ (* (/ 1 (pow b 8)) -8) (* 0 4)))))))))) into (- (* 80 (/ 1 (pow b 8)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 80 (/ 1 (pow b 8))))) into (- (* 80 (/ 1 (pow b 8)))) * [misc]taylor: Taking taylor expansion of (- (* 80 (/ 1 (pow b 8)))) in b * [misc]taylor: Taking taylor expansion of (* 80 (/ 1 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of 80 in b * [misc]backup-simplify: Simplify 80 into 80 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 3 (sqr b)) 0) (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (sqr b))) (* 0 (/ 3 (sqr b))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -2) (* 0 1))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* 0 0) (* 0 1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (sqr b)))) 0) (+ (* 0 0) (+ (* (* 3 (/ 1 (pow b 4))) (- (* 4 (/ 1 (pow b 4))))) (+ (* 0 (- (* 24 (/ 1 (pow b 4))))) (+ (* (- (* 2 (/ 1 (pow b 6)))) (- (* 36 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* (/ 1 (pow b 8)) 4) (+ (* 0 -8) (* 0 4))))))))))) into (- (* 72 (/ 1 (pow b 10))) (* 8 (/ 1 (pow b 8)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 72 (/ 1 (pow b 10))) (* 8 (/ 1 (pow b 8))))) into (- (* 72 (/ 1 (pow b 10))) (* 8 (/ 1 (pow b 8)))) * [misc]taylor: Taking taylor expansion of (- (* 72 (/ 1 (pow b 10))) (* 8 (/ 1 (pow b 8)))) in b * [misc]taylor: Taking taylor expansion of (* 72 (/ 1 (pow b 10))) in b * [misc]taylor: Taking taylor expansion of 72 in b * [misc]backup-simplify: Simplify 72 into 72 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 10)) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (pow (/ 1 (sqr b)) 3)) into (- (/ 1 (pow b 6))) * [misc]backup-simplify: Simplify (+ (pow a -6) (- (/ 1 (pow b 6)))) into (- (pow a -6) (/ 1 (pow b 6))) * [misc]backup-simplify: Simplify (* (- (pow a -6) (/ 1 (pow b 6))) (- (pow a -6) (/ 1 (pow b 6)))) into (sqr (- (pow a -6) (/ 1 (pow b 6)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (sqr (- (pow a -6) (/ 1 (pow b 6)))) -1) into (* -1 (sqr (- (pow a -6) (/ 1 (pow b 6))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 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 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 3)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 3 (sqr b)) 0) (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (sqr b))) (* 0 (/ 3 (sqr b)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -2) (* 0 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b)))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* 0 0) (* 0 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (sqr b)))) 0) (+ (* 0 0) (+ (* (* 3 (/ 1 (pow b 4))) 0) (+ (* 0 (- (* 4 (/ 1 (pow b 4))))) (+ (* (- (* 2 (/ 1 (pow b 6)))) (- (* 24 (/ 1 (pow b 4))))) (+ (* 0 (- (* 36 (/ 1 (pow b 4))))) (+ (* (/ 1 (pow b 8)) 0) (+ (* 0 4) (+ (* 0 -8) (* 0 4)))))))))))) into (* 48 (/ 1 (pow b 10))) * [misc]backup-simplify: Simplify (+ (* -1 (sqr (- (pow a -6) (/ 1 (pow b 6))))) (* 48 (/ 1 (pow b 10)))) into (- (+ (* 48 (/ 1 (pow b 10))) (* 2 (/ 1 (* (pow b 6) (pow a 6))))) (+ (/ 1 (pow b 12)) (/ 1 (pow a 12)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 48 (/ 1 (pow b 10))) (* 2 (/ 1 (* (pow b 6) (pow a 6))))) (+ (/ 1 (pow b 12)) (/ 1 (pow a 12)))) in b * [misc]taylor: Taking taylor expansion of (+ (* 48 (/ 1 (pow b 10))) (* 2 (/ 1 (* (pow b 6) (pow a 6))))) in b * [misc]taylor: Taking taylor expansion of (* 48 (/ 1 (pow b 10))) in b * [misc]taylor: Taking taylor expansion of 48 in b * [misc]backup-simplify: Simplify 48 into 48 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 10)) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow b 6) (pow a 6)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow b 6) (pow a 6))) in b * [misc]taylor: Taking taylor expansion of (* (pow b 6) (pow a 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of (pow a 6) in b * [misc]taylor: Taking taylor expansion of (exp (* 6 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 6 (log a)) in b * [misc]taylor: Taking taylor expansion of 6 in b * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 6 (log a)) into (* 6 (log a)) * [misc]backup-simplify: Simplify (exp (* 6 (log a))) into (pow a 6) * [misc]backup-simplify: Simplify (* 1 (pow a 6)) into (pow a 6) * [misc]backup-simplify: Simplify (/ 1 (pow a 6)) into (/ 1 (pow a 6)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 12)) (/ 1 (pow a 12))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 12)) in b * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 12)) in b * [misc]taylor: Taking taylor expansion of (pow a 12) in b * [misc]taylor: Taking taylor expansion of (exp (* 12 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 12 (log a)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 12 (log a)) into (* 12 (log a)) * [misc]backup-simplify: Simplify (exp (* 12 (log a))) into (pow a 12) * [misc]backup-simplify: Simplify (/ 1 (pow a 12)) into (/ 1 (pow a 12)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) 0) into (- (* 2 (log a))) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (* 2 (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -6 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqr b)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (/ 1 (sqr b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (/ 1 (sqr b))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a -6) (/ 1 (pow b 6))) 0) (* 0 (- (pow a -6) (/ 1 (pow b 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr (- (pow a -6) (/ 1 (pow b 6)))) 1) (* 0 -1)) into (- (+ (/ 1 (pow b 12)) (/ 1 (pow a 12))) (* 2 (/ 1 (* (pow b 6) (pow a 6))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 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 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 3))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 3 (sqr b)) 0) (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (sqr b))) (* 0 (/ 3 (sqr b))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -2) (* 0 1))))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr b))))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (sqr b))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* 0 (- (/ 1 (sqr b)))) (+ (* 0 0) (* 0 1))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (sqr b)))) 0) (+ (* 0 0) (+ (* (* 3 (/ 1 (pow b 4))) 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 6)))) (- (* 4 (/ 1 (pow b 4))))) (+ (* 0 (- (* 24 (/ 1 (pow b 4))))) (+ (* (/ 1 (pow b 8)) (- (* 36 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 4) (+ (* 0 -8) (* 0 4))))))))))))) into (- (* 8 (/ 1 (pow b 10))) (* 36 (/ 1 (pow b 12)))) * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 (pow b 12)) (/ 1 (pow a 12))) (* 2 (/ 1 (* (pow b 6) (pow a 6))))) (- (* 8 (/ 1 (pow b 10))) (* 36 (/ 1 (pow b 12))))) into (- (+ (* 8 (/ 1 (pow b 10))) (/ 1 (pow a 12))) (+ (* 35 (/ 1 (pow b 12))) (* 2 (/ 1 (* (pow b 6) (pow a 6)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 8 (/ 1 (pow b 10))) (/ 1 (pow a 12))) (+ (* 35 (/ 1 (pow b 12))) (* 2 (/ 1 (* (pow b 6) (pow a 6)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ 1 (pow b 10))) (/ 1 (pow a 12))) in b * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow b 10))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 10)) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 12)) in b * [misc]taylor: Taking taylor expansion of (pow a 12) in b * [misc]taylor: Taking taylor expansion of (exp (* 12 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 12 (log a)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 12 (log a)) into (* 12 (log a)) * [misc]backup-simplify: Simplify (exp (* 12 (log a))) into (pow a 12) * [misc]backup-simplify: Simplify (/ 1 (pow a 12)) into (/ 1 (pow a 12)) * [misc]taylor: Taking taylor expansion of (+ (* 35 (/ 1 (pow b 12))) (* 2 (/ 1 (* (pow b 6) (pow a 6))))) in b * [misc]taylor: Taking taylor expansion of (* 35 (/ 1 (pow b 12))) in b * [misc]taylor: Taking taylor expansion of 35 in b * [misc]backup-simplify: Simplify 35 into 35 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 12)) in b * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow b 6) (pow a 6)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow b 6) (pow a 6))) in b * [misc]taylor: Taking taylor expansion of (* (pow b 6) (pow a 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of (pow a 6) in b * [misc]taylor: Taking taylor expansion of (exp (* 6 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 6 (log a)) in b * [misc]taylor: Taking taylor expansion of 6 in b * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 6 (log a)) into (* 6 (log a)) * [misc]backup-simplify: Simplify (exp (* 6 (log a))) into (pow a 6) * [misc]backup-simplify: Simplify (* 1 (pow a 6)) into (pow a 6) * [misc]backup-simplify: Simplify (/ 1 (pow a 6)) into (/ 1 (pow a 6)) * [misc]backup-simplify: Simplify (* 35 1) into 35 * [misc]backup-simplify: Simplify (+ 35 0) into 35 * [misc]backup-simplify: Simplify (- 35) into -35 * [misc]backup-simplify: Simplify (+ 0 -35) into -35 * [misc]backup-simplify: Simplify -35 into -35 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (* 72 1) into 72 * [misc]backup-simplify: Simplify (+ 72 0) into 72 * [misc]backup-simplify: Simplify 72 into 72 * [misc]backup-simplify: Simplify (+ (* 72 (sqr (* (pow (/ 1 (- b)) -5) (/ 1 (sqr (/ 1 (- a))))))) (+ (* -35 (sqr (* (pow (/ 1 (- b)) -6) (/ 1 (/ 1 (- a)))))) (* -1 (pow (* (pow (/ 1 (- b)) -4) (/ 1 (/ 1 (- a)))) 3)))) into (- (+ (* 72 (* (pow b 10) (pow a 4))) (* (pow b 12) (pow a 3))) (* 35 (* (pow b 12) (sqr a)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (pow a 3)) (+ (* 4 (sqr b)) (* 4 (sqr a)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (+ (* 4 (* (+ 1 a) (* a a))) (- (* 4 (* b b)) 1)) * * * * [misc]progress: [ 2 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (pow a 3)) (* 4 (sqr b))) (* 12 (* (sqr b) a))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (- (* (* b b) (- 4 (* a 12))) (- 1 (* (* a a) (* a 4)))) * * * * [misc]progress: [ 3 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (pow a 3)) (* 4 (sqr b))) (* 12 (* (sqr b) a))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (- (* (* b b) (- 4 (* a 12))) (- 1 (* (* a a) (* a 4)))) * * * * [misc]progress: [ 4 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) 0))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * [exit]simplify: Simplified to (- (/ (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) 4)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (sqr a))))))) 1) * * * * [misc]progress: [ 5 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr b) (sqr a))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (- (/ (+ (* (sqr (+ (* (* b b) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (sqr a))))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (sqr a))))) (+ (* (* b b) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (sqr a)))))) 1) * * * * [misc]progress: [ 6 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr b) (sqr a))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (- (/ (+ (* (sqr (+ (* (* b b) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (sqr a))))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (sqr a))))) (+ (* (* b b) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (sqr a)))))) 1) * * * * [misc]progress: [ 7 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) 0))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (- (/ (+ (* (sqr (- (* (* b b) (* b b)) (- (* (sqr a) (sqr a))))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) 1) * * * * [misc]progress: [ 8 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr b) (sqr a))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (- (/ (+ (* (sqr (+ (* (* b b) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (sqr a))))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (sqr a))))) (+ (* (* b b) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (sqr a)))))) 1) * * * * [misc]progress: [ 9 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr b) (sqr a))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (- (/ (+ (* (sqr (+ (* (* b b) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (sqr a))))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (sqr a))))) (+ (* (* b b) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (sqr a)))))) 1) * * * * [misc]progress: [ 10 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (+ (pow a 15) (pow a 14)) (* (sqr b) (pow a 12))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (- (/ (/ (- (+ (pow a 14) (pow a 15)) (* (sqr b) (pow a 12))) (- (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (sqr a) (sqr a)) (* (sqr b) (- (sqr b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (sqr b) (- (sqr b) (sqr a)))))) 1) * * * * [misc]progress: [ 11 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (+ (* 72 (* (pow b 10) (pow a 4))) (* (pow b 12) (pow a 3))) (* 35 (* (pow b 12) (sqr a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (- (/ (/ (+ (* (pow b 12) (cube a)) (- (* (* 72 (pow b 10)) (pow a 4)) (* (* (pow b 12) 35) (* a a)))) (* (- (+ (sqr (* b b)) (sqr (* a a))) (* (* b b) (* a a))) (- (+ (sqr (* b b)) (sqr (* a a))) (* (* b b) (* a a))))) (- (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) 1) * * * * [misc]progress: [ 12 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (+ (* 72 (* (pow b 10) (pow a 4))) (* (pow b 12) (pow a 3))) (* 35 (* (pow b 12) (sqr a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (- (/ (/ (+ (* (pow b 12) (cube a)) (- (* (* 72 (pow b 10)) (pow a 4)) (* (* (pow b 12) 35) (* a a)))) (* (- (+ (sqr (* b b)) (sqr (* a a))) (* (* b b) (* a a))) (- (+ (sqr (* b b)) (sqr (* a a))) (* (* b b) (* a a))))) (- (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) 1) * * * * [misc]progress: [ 13 / 912 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (+ (log (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (log (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (- (log (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (+ (+ (log (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (log (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) (log (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) * [exit]simplify: Simplified to (- (log (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (+ (+ (log (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (log (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) (log (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) * * * * [misc]progress: [ 15 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (log (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (- (log (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (log (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))))) * [exit]simplify: Simplified to (- (log (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (log (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))))) * * * * [misc]progress: [ 16 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (log (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (log (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 17 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (exp (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) * [exit]simplify: Simplified to (exp (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) * * * * [misc]progress: [ 18 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (cube (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (cube (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (/ (cube (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (sqr (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) 4)) (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b))))))) (* (* (cube (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (cube (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))) (cube (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (/ (cube (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (sqr (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) 4)) (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b))))))) (* (* (cube (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (cube (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))) (cube (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 19 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (cube (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (/ (sqr (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) 4))))) (/ (cube (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) 4)))))) * [exit]simplify: Simplified to (/ (sqr (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) 4))))) (/ (cube (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) 4)))))) * * * * [misc]progress: [ 20 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) * [exit]simplify: Simplified to (cbrt (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) * * * * [misc]progress: [ 21 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * [exit]simplify: Simplified to (cube (/ (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* 4 (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))))) (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))))) * [exit]simplify: Simplified to (cube (/ (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* 4 (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))))) (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))))) * * * * [misc]progress: [ 22 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (cbrt (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* (sqr (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (cbrt (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (* (sqr (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (cbrt (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 23 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (cbrt (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (cbrt (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* (sqr (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (* (cbrt (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (cbrt (sqr (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (* (sqr (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (* (cbrt (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (cbrt (sqr (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))))))) * * * * [misc]progress: [ 24 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) * * * * [misc]progress: [ 25 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (sqrt (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (sqr (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (sqrt (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (* (sqr (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (sqrt (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 26 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (sqrt (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (sqr a)) (cube (* b b))) (- (cube (sqr a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (sqrt (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (sqr a)) (cube (* b b))) (- (cube (sqr a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (sqrt (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 27 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- 4) (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- 4) (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * [enter]simplify: Simplifying (- (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (- (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (- (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 28 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ (* (* (* b b) (+ b a)) (- b a)) (* (* a a) (* a a))) (+ (* (* (* b b) (+ b a)) (- b a)) (* (* a a) (* a a))))) * [exit]simplify: Simplified to (/ 1 (* (+ (* (* (* b b) (+ b a)) (- b a)) (* (* a a) (* a a))) (+ (* (* (* b b) (+ b a)) (- b a)) (* (* a a) (* a a))))) * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 29 / 912 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (- (* (* b b) (* b b)) (* (* b b) (* a a))) (* (* a a) (* a a)))) (* (+ (- (* (* b b) (* b b)) (* (* b b) (* a a))) (* (* a a) (* a a))) (- (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* a 3)))))) * [exit]simplify: Simplified to (/ (/ 1 (+ (- (* (* b b) (* b b)) (* (* b b) (* a a))) (* (* a a) (* a a)))) (* (+ (- (* (* b b) (* b b)) (* (* b b) (* a a))) (* (* a a) (* a a))) (- (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* a 3)))))) * * * * [misc]progress: [ 31 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (/ (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* 4 (* (sqr a) (+ 1 a))) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (/ (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* 4 (* (sqr a) (+ 1 a))) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 32 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) * * * * [misc]progress: [ 33 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (/ (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* 4 (* (sqr a) (+ 1 a))) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (/ (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* 4 (* (sqr a) (+ 1 a))) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 34 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) 4)) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (* (sqr a) (- 1 (cube a))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) 4)) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (* (sqr a) (- 1 (cube a))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))))) * * * * [misc]progress: [ 35 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (sqr a)) 4) (* (- 1 (* 3 a)) (* (* b b) 4))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (* (* 3 a) (* 3 a))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (- b a) (+ b a)))))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (sqr a)) 4) (* (- 1 (* 3 a)) (* (* b b) 4))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (* (* 3 a) (* 3 a))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (- b a) (+ b a)))))))) * * * * [misc]progress: [ 36 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (sqr a) (- 1 (sqr a)))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (sqr a) (- 1 (sqr a)))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))))) * * * * [misc]progress: [ 37 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (- 1 (* 3 a)) (* (* b b) 4)) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* (- b a) (+ b a)) (* b b)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* (- b a) (+ b a)) (* b b)))) (* (+ 1 (* 3 a)) (- (* (sqr a) (- 1 (sqr a))) (* (* (* b b) (- 1 a)) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (- 1 (* 3 a)) (* (* b b) 4)) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* (- b a) (+ b a)) (* b b)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* (- b a) (+ b a)) (* b b)))) (* (+ 1 (* 3 a)) (- (* (sqr a) (- 1 (sqr a))) (* (* (* b b) (- 1 a)) (- 1 (* 3 a)))))))) * * * * [misc]progress: [ 38 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (287 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))))) * * * * [misc]progress: [ 39 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (/ (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) 4)) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (/ (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) 4)) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))))) * * * * [misc]progress: [ 40 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (/ (+ (* (* (sqr (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (- (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a)))))) 4) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))) (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (/ (+ (* (* (sqr (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (- (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a)))))) 4) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))) (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))))) * * * * [misc]progress: [ 41 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (+ (sqr a) (* (sqr a) (* 3 a))) (- 1 (cube a))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (* (* 3 a) (* 3 a))))) (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (+ (sqr a) (* (sqr a) (* 3 a))) (- 1 (cube a))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (* (* 3 a) (* 3 a))))) (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))))) * * * * [misc]progress: [ 42 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (sqr (* (- (* (sqr a) (sqr a)) (* (- (* b b) (sqr a)) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (sqr (* (- (* (sqr a) (sqr a)) (* (- (* b b) (sqr a)) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))))))) * * * * [misc]progress: [ 43 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (sqr a)) 4) (* (- 1 (* 3 a)) (* (* b b) 4))))) (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (* 3 a)) (- (* (sqr a) (- 1 (sqr a))) (* (* (* b b) (- 1 a)) (- 1 (* 3 a))))) (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (- (* b b) (sqr a)) (* b b))))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (sqr a)) 4) (* (- 1 (* 3 a)) (* (* b b) 4))))) (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (* 3 a)) (- (* (sqr a) (- 1 (sqr a))) (* (* (* b b) (- 1 a)) (- 1 (* 3 a))))) (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (- (* b b) (sqr a)) (* b b))))))) * * * * [misc]progress: [ 44 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))))) * * * * [misc]progress: [ 45 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (* (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a))))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (* (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a))))))) * * * * [misc]progress: [ 46 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) 4)) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) 4)) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) * * * * [misc]progress: [ 47 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (+ (sqr a) (* (sqr a) (* 3 a))) (- 1 (cube a))) (* (- 1 (* (* 3 a) (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))) (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (+ (sqr a) (* (sqr a) (* 3 a))) (- 1 (cube a))) (* (- 1 (* (* 3 a) (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))) (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 48 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))) (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))) (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) * * * * [misc]progress: [ 49 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (441 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ 1 (* 3 a)) (- (* (sqr a) (- 1 (sqr a))) (* (* (* b b) (- 1 a)) (- 1 (* 3 a))))) (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ 1 (* 3 a)) (- (* (sqr a) (- 1 (sqr a))) (* (* (* b b) (- 1 a)) (- 1 (* 3 a))))) (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) * * * * [misc]progress: [ 50 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (* (- (* b b) (sqr a)) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (* (- (* b b) (sqr a)) (* b b)) (* (sqr a) (sqr a)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (* (- (* b b) (sqr a)) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (* (- (* b b) (sqr a)) (* b b)) (* (sqr a) (sqr a)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 51 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) * * * * [misc]progress: [ 52 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (- (* b b) (sqr a)) (* b b))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (- (* b b) (sqr a)) (* b b)))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (- (* b b) (sqr a)) (* b b))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (- (* b b) (sqr a)) (* b b)))))) * * * * [misc]progress: [ 53 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (/ (+ (* (sqr (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 54 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))))) (* (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (sqr a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))))) (* (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (sqr a) (- 1 a))))) * * * * [misc]progress: [ 55 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))))) (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (sqr a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))))) (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (sqr a) (- 1 a))))) * * * * [misc]progress: [ 56 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (sqr a) (- a 1))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (sqr a) (- a 1))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))))) * * * * [misc]progress: [ 57 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))))) (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))) (* (- (sqr a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (+ (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (- (+ (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))))) (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))) (* (- (sqr a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (+ (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (- (+ (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 58 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (355 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * * * * [misc]progress: [ 59 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (* (- (sqr a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (* (- (sqr a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * * * * [misc]progress: [ 60 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * * * * [misc]progress: [ 61 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 62 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (sqr a) (- 1 a)))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (sqr a) (- 1 a)))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))))) (sqr (- 1 a)))) * * * * [misc]progress: [ 63 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 64 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))))) (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))))) (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 65 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))))) (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (* (- (sqr a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))))) (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (* (- (sqr a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 66 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * * * * [misc]progress: [ 67 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (* (+ (sqr a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (* (+ (sqr a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * * * * [misc]progress: [ 68 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * [exit]simplify: Simplified to (* (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * * * * [misc]progress: [ 69 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (sqr a) (- a 1)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (sqr a) (- a 1)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 70 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (sqr a) (- a 1)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (sqr a) (- a 1)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 71 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 72 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * * * * [misc]progress: [ 73 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))) (* (- (sqr a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))) (* (- (sqr a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 74 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))))) * * * * [misc]progress: [ 75 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))))) * * * * [misc]progress: [ 76 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- 1 a)))) (* (* (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- 1 a)))) (* (* (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))))) * * * * [misc]progress: [ 77 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a))))) (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a))))) (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 78 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))))) * * * * [misc]progress: [ 79 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))))))) * * * * [misc]progress: [ 80 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))))) * * * * [misc]progress: [ 81 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 82 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (+ (- (sqr a) (- a 1)) (* (- (sqr a) (- a 1)) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (+ (- (sqr a) (- a 1)) (* (- (sqr a) (- a 1)) (* 3 a))))) * * * * [misc]progress: [ 83 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a)))) (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a)))) (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) * * * * [misc]progress: [ 84 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * * * * [misc]progress: [ 85 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))))) * * * * [misc]progress: [ 86 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))))) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))))) * * * * [misc]progress: [ 87 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (+ (* (sqr (cube a)) (+ (* (cube b) (cube b)) (sqr (cube a)))) (sqr (* (cube b) (cube b))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (sqr (cube a)) (+ (* (cube b) (cube b)) (sqr (cube a)))) (sqr (* (cube b) (cube b)))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (+ (* (sqr (cube a)) (+ (* (cube b) (cube b)) (sqr (cube a)))) (sqr (* (cube b) (cube b))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (sqr (cube a)) (+ (* (cube b) (cube b)) (sqr (cube a)))) (sqr (* (cube b) (cube b)))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 88 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 89 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (* (cube b) (cube b)))))) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (* (cube b) (cube b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (* (cube b) (cube b)))))) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (* (cube b) (cube b)))))) * * * * [misc]progress: [ 90 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 91 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 92 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 93 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 94 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 95 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (* (- 1 a) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))))) (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (* (- 1 a) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))))) (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 96 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (sqr (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (sqr (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))))) * * * * [misc]progress: [ 97 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))))) * * * * [misc]progress: [ 98 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))))) (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))))) (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))))) * * * * [misc]progress: [ 99 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (* (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))) (* (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 100 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr a) (- 1 a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))) (* (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr a) (- 1 a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))) (* (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))))))) * * * * [misc]progress: [ 101 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (+ (sqr a) (- 1 a)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (+ (sqr a) (- 1 a)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))))) * * * * [misc]progress: [ 102 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (sqr (- 1 a))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (sqr (- 1 a))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))))) * * * * [misc]progress: [ 103 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * * * * [misc]progress: [ 104 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a)))) (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a)))) (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * * * * [misc]progress: [ 105 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * * * * [misc]progress: [ 106 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * * * * [misc]progress: [ 107 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 108 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- 1 a)))) (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- 1 a)))) (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 109 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr (+ 1 (* 3 a))) (sqr (- 1 a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (* (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (- 1 a)) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr (+ 1 (* 3 a))) (sqr (- 1 a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (* (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (- 1 a)) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) * * * * [misc]progress: [ 110 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (- 1 a)) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (- 1 a)) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 111 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * * * * [misc]progress: [ 112 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) * * * * [misc]progress: [ 113 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))))) * * * * [misc]progress: [ 114 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- (sqr a) (- a 1)))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- (sqr a) (- a 1)))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 115 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))))))) * * * * [misc]progress: [ 116 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ 1 (* 3 a)) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (- 1 a))))) * [exit]simplify: Simplified to (* (* (sqr (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ 1 (* 3 a)) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (- 1 a))))) * * * * [misc]progress: [ 117 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (sqr (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (sqr (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (* (- 1 a) (- 1 a)))))) * * * * [misc]progress: [ 118 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) * * * * [misc]progress: [ 119 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) (* (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) (* (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 120 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) (* (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (- (sqr a) (- a 1))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) (* (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (- (sqr a) (- a 1))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 121 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) * * * * [misc]progress: [ 122 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (- 1 a))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (- 1 a))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 123 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (sqr (+ (* (sqr a) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (sqr (+ (* (sqr a) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) * * * * [misc]progress: [ 124 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 125 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) * * * * [misc]progress: [ 126 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 127 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) * * * * [misc]progress: [ 128 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- 1 a)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- 1 a)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) * * * * [misc]progress: [ 129 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (sqr (cube a)) (+ (sqr (cube b)) (sqr (cube a)))) (sqr (sqr (cube b)))) (+ (* (sqr (cube a)) (+ (sqr (cube b)) (sqr (cube a)))) (sqr (sqr (cube b))))) (+ (* (- 1 a) (* 3 a)) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (sqr (cube a)) (+ (sqr (cube b)) (sqr (cube a)))) (sqr (sqr (cube b)))) (+ (* (sqr (cube a)) (+ (sqr (cube b)) (sqr (cube a)))) (sqr (sqr (cube b))))) (+ (* (- 1 a) (* 3 a)) (- 1 a))))) * * * * [misc]progress: [ 130 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (* (- 1 a) (+ 1 (* 3 a)))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (* (- 1 a) (+ 1 (* 3 a)))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 131 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) * * * * [misc]progress: [ 132 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 133 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (cube a) (cube a)) (+ (sqr (cube b)) (* (cube a) (cube a)))) (sqr (sqr (cube b)))) (+ (* (* (cube a) (cube a)) (+ (sqr (cube b)) (* (cube a) (cube a)))) (sqr (sqr (cube b))))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (cube a) (cube a)) (+ (sqr (cube b)) (* (cube a) (cube a)))) (sqr (sqr (cube b)))) (+ (* (* (cube a) (cube a)) (+ (sqr (cube b)) (* (cube a) (cube a)))) (sqr (sqr (cube b))))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 134 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))))) * * * * [misc]progress: [ 135 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))))) * * * * [misc]progress: [ 136 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))))) * * * * [misc]progress: [ 137 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- 1 a))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- 1 a))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 138 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))))) * * * * [misc]progress: [ 139 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 140 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))))) * * * * [misc]progress: [ 141 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))))) * * * * [misc]progress: [ 142 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) (* (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- 1 a))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) (* (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- 1 a))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 143 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ 1 (* 3 a))) (sqr (- 1 a))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ 1 (* 3 a))) (sqr (- 1 a))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))))))) * * * * [misc]progress: [ 144 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))))) * * * * [misc]progress: [ 145 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * * * * [misc]progress: [ 146 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))))) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))))) * * * * [misc]progress: [ 147 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))))) * * * * [misc]progress: [ 148 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 149 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) * * * * [misc]progress: [ 150 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 151 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (+ (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (+ (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 152 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 153 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * [exit]simplify: Simplified to (* (* (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * * * * [misc]progress: [ 154 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))))) * * * * [misc]progress: [ 155 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 156 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))))) (* (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))))) (* (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- 1 a))))) * * * * [misc]progress: [ 157 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 158 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 159 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))))))) * * * * [misc]progress: [ 160 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))) (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))) (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))))) * * * * [misc]progress: [ 161 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a)))))))) * * * * [misc]progress: [ 162 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 163 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a)))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (sqr (cube a))))))) * * * * [misc]progress: [ 164 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))))) * [exit]simplify: Simplified to (* (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))))) * * * * [misc]progress: [ 165 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) * * * * [misc]progress: [ 166 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (+ (sqr a) (- 1 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (+ (sqr a) (- 1 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) * * * * [misc]progress: [ 167 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * * * * [misc]progress: [ 168 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- 1 a)))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- 1 a)))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (cube (sqr a)))))))) * * * * [misc]progress: [ 169 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) * * * * [misc]progress: [ 170 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * * * * [misc]progress: [ 171 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 172 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) (sqr (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) (sqr (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 173 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))) * * * * [misc]progress: [ 174 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ 1 (- (sqr a) a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ 1 (- (sqr a) a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))))) * * * * [misc]progress: [ 175 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (* (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (+ (cube (sqr a)) (* (cube b) (cube b))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (* (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (+ (cube (sqr a)) (* (cube b) (cube b))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))))) * * * * [misc]progress: [ 176 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))))) (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))))) (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 177 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (+ 1 (- (sqr a) a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- 1 a)))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (+ 1 (- (sqr a) a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- 1 a)))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 178 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (sqr a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (+ (cube (sqr a)) (sqr (cube b)))))) (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (sqr a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (+ (cube (sqr a)) (sqr (cube b)))))) (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))))) * * * * [misc]progress: [ 179 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (- (sqr a) a) 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (- (sqr a) a) 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))))) * * * * [misc]progress: [ 180 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr a) (- a 1)))))) (* (* (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr a) (- a 1)))))) (* (* (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 181 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))) (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))) (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) * * * * [misc]progress: [ 182 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (sqr a) (- a 1))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (sqr (- 1 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (sqr a) (- a 1))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (sqr (- 1 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 183 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (sqr a) (- a 1)))) (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (sqr a) (- a 1)))) (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 184 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (sqr a) (- a 1))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (sqr a) (- a 1))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))))))) * * * * [misc]progress: [ 185 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (* (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))) * * * * [misc]progress: [ 186 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (sqr a) (- a 1))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (sqr a) (- a 1))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) * * * * [misc]progress: [ 187 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (+ (cube (sqr a)) (* (cube b) (cube b))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (sqr a) (- a 1)))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (+ (cube (sqr a)) (* (cube b) (cube b))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (sqr a) (- a 1)))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 188 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (sqr a) (- a 1))) (sqr (+ (cube (sqr a)) (sqr (cube b))))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (sqr a) (- a 1))) (sqr (+ (cube (sqr a)) (sqr (cube b))))) (sqr (- 1 a)))) * * * * [misc]progress: [ 189 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (sqr a) (- a 1)))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (sqr a) (- a 1)))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * * * * [misc]progress: [ 190 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (sqr a) (- a 1))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (sqr a) (- a 1))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))))) * * * * [misc]progress: [ 191 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (sqr a) (- a 1)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (sqr a) (- a 1)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 192 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ 1 (- (sqr a) a))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ 1 (- (sqr a) a))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 193 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ 1 (- (sqr a) a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ 1 (- (sqr a) a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 194 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (cube (sqr a)) (* (cube b) (cube b))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (* (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (cube (sqr a)) (* (cube b) (cube b))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (* (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) * * * * [misc]progress: [ 195 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 196 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 197 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) * * * * [misc]progress: [ 198 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))))) (* (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))))) (* (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))))) * * * * [misc]progress: [ 199 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (+ (cube (sqr a)) (* (cube b) (cube b))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (+ (cube (sqr a)) (* (cube b) (cube b))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 200 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))))) * * * * [misc]progress: [ 201 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (sqr a) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (sqr a) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 202 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (- (sqr a) (- a 1)) (* (- (sqr a) (- a 1)) (* 3 a)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))) (* (sqr (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (- (sqr a) (- a 1)) (* (- (sqr a) (- a 1)) (* 3 a)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))) (* (sqr (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) * * * * [misc]progress: [ 203 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 204 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 205 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 206 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (- (sqr a) (- a 1)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (- (sqr a) (- a 1)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 207 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))))) * * * * [misc]progress: [ 208 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (- 1 a) (- 1 a))))) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (- 1 a) (- 1 a))))) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) * * * * [misc]progress: [ 209 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * * * * [misc]progress: [ 210 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 211 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))))) * * * * [misc]progress: [ 212 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) * [exit]simplify: Simplified to (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) * * * * [misc]progress: [ 213 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (* (+ (sqr (cube a)) (sqr (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (* (+ (sqr (cube a)) (sqr (cube b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) * * * * [misc]progress: [ 214 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (cube (sqr a)) (* (cube b) (cube b))))) (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (sqr (+ (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (cube (sqr a)) (* (cube b) (cube b))))) (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (sqr (+ (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 215 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 216 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- 1 a))))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (sqr (+ (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- 1 a))))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (sqr (+ (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 217 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (+ (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (+ (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 218 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 219 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 220 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (- (sqr a) (- a 1)))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (- 1 a))))) * [exit]simplify: Simplified to (* (* (sqr (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (- (sqr a) (- a 1)))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (- 1 a))))) * * * * [misc]progress: [ 221 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))) (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1))))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))) (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1))))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 222 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- 1 a) (- 1 a))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (- 1 a) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- 1 a) (- 1 a))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (- 1 a) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- 1 a)))))) * * * * [misc]progress: [ 223 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 224 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (- 1 a))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (- 1 a))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * * * * [misc]progress: [ 225 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (+ (- 1 a) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- 1 a)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (+ (- 1 a) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- 1 a)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))))))) * * * * [misc]progress: [ 226 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (- 1 a)))) * * * * [misc]progress: [ 227 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (- 1 a) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- 1 a)))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (- 1 a) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- 1 a)))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * * * * [misc]progress: [ 228 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (* (* 3 a) (* 3 a))))) (* (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (- 1 a)) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (* (* 3 a) (* 3 a))))) (* (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (- 1 a)) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 229 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (- 1 a) (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (- 1 a) (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 230 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))))) * [exit]simplify: Simplified to (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))))) * * * * [misc]progress: [ 231 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (- 1 a)))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (- 1 a)))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) * * * * [misc]progress: [ 232 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- 1 a))))) (sqr (+ (- (* (* (* (- b a) (+ b a)) (* b b)) (* (* (- b a) (+ b a)) (* b b))) (* (* (* (- b a) (+ b a)) (* b b)) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- 1 a))))) (sqr (+ (- (* (* (* (- b a) (+ b a)) (* b b)) (* (* (- b a) (+ b a)) (* b b))) (* (* (* (- b a) (+ b a)) (* b b)) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 233 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (- 1 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) * [exit]simplify: Simplified to (* (* (* (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (- 1 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) * * * * [misc]progress: [ 234 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (* (* (- 1 a) (+ 1 (* 3 a))) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (sqr (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (* (* (- 1 a) (+ 1 (* 3 a))) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (sqr (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 235 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (sqr (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (sqr (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 236 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- 1 a) (- 1 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (- 1 a) (* 3 a)) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- 1 a) (- 1 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (- 1 a) (* 3 a)) (- 1 a))))) * * * * [misc]progress: [ 237 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (* (* (+ 1 (* 3 a)) (- 1 a)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (* (* (+ 1 (* 3 a)) (- 1 a)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) * * * * [misc]progress: [ 238 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 239 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * * * * [misc]progress: [ 240 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1)))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))))))) * [exit]simplify: Simplified to (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1)))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))))))) * * * * [misc]progress: [ 241 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (- 1 a))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (- 1 a))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 242 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 243 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (- 1 a) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (- 1 a) (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 244 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (- 1 a) (+ 1 (* 3 a))))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (- 1 a) (+ 1 (* 3 a))))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 245 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (sqr (+ (* (sqr a) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (sqr (+ (* (sqr a) (* b b)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 246 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * * * * [misc]progress: [ 247 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 248 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- 1 a))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (+ (sqr (cube a)) (sqr (cube b)))) (+ (sqr (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- 1 a))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (+ (sqr (cube a)) (sqr (cube b)))) (+ (sqr (cube a)) (sqr (cube b))))))) * * * * [misc]progress: [ 249 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (397 enodes) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ 1 (* 3 a))) (* (* (- 1 a) (* (+ 1 (* 3 a)) (sqr (- 1 a)))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ 1 (* 3 a))) (* (* (- 1 a) (* (+ 1 (* 3 a)) (sqr (- 1 a)))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))))) * * * * [misc]progress: [ 250 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 251 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (* (+ 1 (* 3 a)) (- 1 a)) (+ (sqr (cube a)) (sqr (cube b)))) (+ (sqr (cube a)) (sqr (cube b)))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (* (+ 1 (* 3 a)) (- 1 a)) (+ (sqr (cube a)) (sqr (cube b)))) (+ (sqr (cube a)) (sqr (cube b)))))) * * * * [misc]progress: [ 252 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (+ 1 (* 3 a))) (+ (sqr (cube a)) (sqr (cube b)))) (+ (sqr (cube a)) (sqr (cube b))))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (+ 1 (* 3 a))) (+ (sqr (cube a)) (sqr (cube b)))) (+ (sqr (cube a)) (sqr (cube b))))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * * * * [misc]progress: [ 253 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 254 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * * * * [misc]progress: [ 255 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))))) * * * * [misc]progress: [ 256 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (sqr (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (sqr (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 257 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (sqr (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (sqr (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 258 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (sqr (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (sqr (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * * * * [misc]progress: [ 259 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 260 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))))) * * * * [misc]progress: [ 261 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))))) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))))) * * * * [misc]progress: [ 262 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * * * * [misc]progress: [ 263 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (sqr (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (sqr (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 264 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (+ (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (+ (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * * * * [misc]progress: [ 265 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 266 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1)))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1)))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * * * * [misc]progress: [ 267 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (+ (sqr a) (- 1 a)))) (sqr (+ (cube (sqr a)) (sqr (cube b))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (+ (sqr a) (- 1 a)))) (sqr (+ (cube (sqr a)) (sqr (cube b))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * * * * [misc]progress: [ 268 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (- 1 a))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (- 1 a))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 269 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 270 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (+ (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (+ (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 271 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (+ (* (* (sqr a) (+ 1 a)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (+ (* (* (sqr a) (+ 1 a)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 272 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) * [exit]simplify: Simplified to (* (* (sqr (+ (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) * * * * [misc]progress: [ 273 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 274 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 275 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (cube (sqr a)) (sqr (cube b)))))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (cube (sqr a)) (sqr (cube b)))))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 276 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 277 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 278 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (cube (sqr a)) (* (cube b) (cube b))))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (cube (sqr a)) (* (cube b) (cube b))))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 279 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))))) * * * * [misc]progress: [ 280 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (cube (sqr a)) (* (cube b) (cube b))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) (* (* (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (cube (sqr a)) (* (cube b) (cube b))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) (* (* (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) * * * * [misc]progress: [ 281 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))) (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))) (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) * * * * [misc]progress: [ 282 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (- 1 a))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (- 1 a))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 283 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))))))) * * * * [misc]progress: [ 284 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 285 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))) (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))) (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))))))) * * * * [misc]progress: [ 286 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 287 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 288 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))))) * * * * [misc]progress: [ 289 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))))) * * * * [misc]progress: [ 290 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))))) * * * * [misc]progress: [ 291 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (cube (sqr a)) (sqr (cube b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (cube (sqr a)) (sqr (cube b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 292 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 293 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))))) * * * * [misc]progress: [ 294 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (- (sqr a) (- a 1)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (sqr a) (- a 1)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (- (sqr a) (- a 1)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (sqr a) (- a 1)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) * * * * [misc]progress: [ 295 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (sqr (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (sqr (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 296 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (sqr a) (- a 1)))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (sqr a) (- a 1)))) * * * * [misc]progress: [ 297 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1))) (* (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1))) (* (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * * * * [misc]progress: [ 298 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (sqr (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (sqr (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) * * * * [misc]progress: [ 299 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (sqr a) (- a 1))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (sqr a) (- a 1))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 300 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (- (sqr a) (- a 1))) (* (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (- (sqr a) (- a 1))) (* (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 301 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (sqr a) (- a 1))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (sqr a) (- a 1))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 302 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (sqr a) (- a 1))))) (* (* (* (- 1 a) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (- 1 a) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (sqr a) (- a 1))))) (* (* (* (- 1 a) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (- 1 a) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 303 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- (sqr a) (- a 1)) (sqr (+ (* 3 a) 1)))) (* (* (- 1 a) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (- 1 a) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- (sqr a) (- a 1)) (sqr (+ (* 3 a) 1)))) (* (* (- 1 a) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (- 1 a) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 304 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 305 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))))) (+ (- (sqr a) (- a 1)) (* (- (sqr a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b)))))) (+ (- (sqr a) (- a 1)) (* (- (sqr a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) * * * * [misc]progress: [ 306 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (+ (sqr a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (+ (sqr a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * * * * [misc]progress: [ 307 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (sqr a) (- 1 a))) (* (sqr (+ (* 3 a) 1)) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (sqr a) (- 1 a))) (* (sqr (+ (* 3 a) 1)) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))))) * * * * [misc]progress: [ 308 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- 1 a))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (sqr a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- 1 a))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (sqr a) (- 1 a)))) * * * * [misc]progress: [ 309 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (sqr a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (sqr a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 310 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (- (sqr a) (- a 1))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (- (sqr a) (- a 1))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 311 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * * [misc]simplify: iters left: 3 (437 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (+ (- (sqr a) a) 1) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (+ (- (sqr a) a) 1) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 312 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (* (sqr (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (+ (- (sqr a) (- a 1)) (* (- (sqr a) (- a 1)) (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (sqr (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (+ (- (sqr a) (- a 1)) (* (- (sqr a) (- a 1)) (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 313 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (- (sqr a) a) 1)) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (- (sqr a) a) 1)) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 314 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (- (sqr a) (- a 1)))))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (- (sqr a) (- a 1)))))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 315 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ 1 (* 3 a)))) (- (sqr a) (- a 1))) (* (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ 1 (* 3 a)))) (- (sqr a) (- a 1))) (* (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))))) * * * * [misc]progress: [ 316 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (sqr (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (sqr (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) * * * * [misc]progress: [ 317 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 318 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) (* (- (sqr a) (- a 1)) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))))) (* (- (sqr a) (- a 1)) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 319 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 320 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 321 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 322 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (* (* (sqr (- 1 a)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (* (* (sqr (- 1 a)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 323 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 324 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 325 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))) (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))) (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))))))) * * * * [misc]progress: [ 326 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (366 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (* (sqr (- (sqr a) (- a 1))) (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (* (sqr (- (sqr a) (- a 1))) (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * * * * [misc]progress: [ 327 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (sqr (+ (sqr a) (- 1 a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (sqr (+ (sqr a) (- 1 a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) * * * * [misc]progress: [ 328 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))))) * * * * [misc]progress: [ 329 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (361 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (- 1 a) (- 1 a))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (- 1 a) (- 1 a))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 330 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ 1 (* 3 a)))) (- (sqr a) (- a 1)))) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ 1 (* 3 a)))) (- (sqr a) (- a 1)))) * * * * [misc]progress: [ 331 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 332 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (387 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 333 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 334 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 335 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ (* 3 a) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ (* 3 a) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) * * * * [misc]progress: [ 336 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 337 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* 3 a) 1))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* 3 a) 1))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 338 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))))) * * * * [misc]progress: [ 339 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 340 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (* (- 1 a) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (- 1 a) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 341 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (* (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 342 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 a) (- 1 a)) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (- 1 a))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 a) (- 1 a)) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (- 1 a))) * * * * [misc]progress: [ 343 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1))) (* (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (+ (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1))) (* (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (+ (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 344 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (sqr a) (* b b)))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 345 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 346 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (sqr (* 3 a)))) (sqr (- (sqr a) (- a 1)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (sqr (* 3 a)))) (sqr (- (sqr a) (- a 1)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 347 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (361 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (- (sqr a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (- (sqr a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 348 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (332 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (sqr (* 3 a)) (- 1 a))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (sqr (* 3 a)) (- 1 a))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 349 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (* (- 1 a) (- 1 a)))))) * * * * [misc]progress: [ 350 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 351 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 352 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (+ (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 353 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 354 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (sqr (- (sqr a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (sqr (- (sqr a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) * * * * [misc]progress: [ 355 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (* (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (* (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 356 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (- 1 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (- 1 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 357 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (425 enodes) * [exit]simplify: Simplified to (* (* (- 1 a) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ 1 (* 3 a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (- 1 a) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ 1 (* 3 a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 358 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) * * * * [misc]progress: [ 359 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- 1 a)))) (* (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- 1 a)))) (* (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 360 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* 3 a)) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- 1 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))))) (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (+ 1 (* 3 a)) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- 1 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))))) (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * * * * [misc]progress: [ 361 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (373 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 362 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- 1 a) (+ (* 3 a) 1))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- 1 a) (+ (* 3 a) 1))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 363 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) * * * * [misc]progress: [ 364 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 365 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (416 enodes) * [exit]simplify: Simplified to (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (* (- 1 a) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (* (- 1 a) (+ 1 (* 3 a))))) * * * * [misc]progress: [ 366 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (- 1 a) (+ 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (- 1 a) (+ 1 (* 3 a))))))) * * * * [misc]progress: [ 367 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 368 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (* (cube (- 1 a)) (+ 1 (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (* (cube (- 1 a)) (+ 1 (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * * * * [misc]progress: [ 369 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 370 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (+ 1 (* 3 a)) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- 1 a))))) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (+ 1 (* 3 a)) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- 1 a))))) * * * * [misc]progress: [ 371 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (- 1 a)) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (- 1 a)) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * * * * [misc]progress: [ 372 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* 3 a)) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- 1 a)))) (* (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (+ 1 (* 3 a)) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- 1 a)))) (* (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 373 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (- 1 a) (+ 1 (* 3 a))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (- 1 a) (+ 1 (* 3 a))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 374 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 375 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 376 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 377 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 378 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))))) * * * * [misc]progress: [ 379 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))))) * * * * [misc]progress: [ 380 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))))))) * * * * [misc]progress: [ 381 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (sqr (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (sqr (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))))) * * * * [misc]progress: [ 382 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (* (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (* (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 383 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 384 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))))))) * * * * [misc]progress: [ 385 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 386 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (- (sqr a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (- (sqr a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 387 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))))) * * * * [misc]progress: [ 388 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (- 1 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (- 1 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 389 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- 1 a))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- 1 a))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 390 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a))))))) * * * * [misc]progress: [ 391 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (sqr (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 (* 3 a)) (* b b)) (* (sqr a) (+ 1 a)))) (sqr (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 392 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 393 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 394 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) * [exit]simplify: Simplified to (* (* (sqr (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (* (sqr (+ (sqr a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) * * * * [misc]progress: [ 395 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (sqr (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (sqr (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 396 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (- 1 a)))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (- 1 a)))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 397 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (sqr (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (sqr (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 398 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 399 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))))) * * * * [misc]progress: [ 400 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) * * * * [misc]progress: [ 401 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 402 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (432 enodes) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 403 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (378 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 404 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 405 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 406 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 407 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 408 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- 1 a)))) * * * * [misc]progress: [ 409 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * * * * [misc]progress: [ 410 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) * * * * [misc]progress: [ 411 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 412 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) (- (+ (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (- b a) (+ b a))) (* (sqr a) (sqr a))))) (- (+ (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (- b a) (+ b a))) (* (sqr a) (sqr a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) (- (+ (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (- b a) (+ b a))) (* (sqr a) (sqr a))))) (- (+ (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (- b a) (+ b a))) (* (sqr a) (sqr a))))) * * * * [misc]progress: [ 413 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (* (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (* (+ (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 414 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (sqr (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (sqr (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 415 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) * * * * [misc]progress: [ 416 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))))) * * * * [misc]progress: [ 417 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))))) * * * * [misc]progress: [ 418 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))))) * [exit]simplify: Simplified to (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (sqr (cube b)) (cube (sqr a))))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))))) * * * * [misc]progress: [ 419 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) * * * * [misc]progress: [ 420 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))))) (* (* (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))))) (* (* (sqr (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) * * * * [misc]progress: [ 421 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (sqr (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (sqr (+ (* (sqr a) (* b b)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 422 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) (* (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- 1 a))))) * * * * [misc]progress: [ 423 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (cube (sqr a)) (+ (sqr (cube b)) (cube (sqr a)))) (sqr (sqr (cube b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (sqr a)) (+ (sqr (cube b)) (cube (sqr a)))) (sqr (sqr (cube b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (cube (sqr a)) (+ (sqr (cube b)) (cube (sqr a)))) (sqr (sqr (cube b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (sqr a)) (+ (sqr (cube b)) (cube (sqr a)))) (sqr (sqr (cube b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))))) * * * * [misc]progress: [ 424 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (sqr a) (* b b))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 425 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (sqr (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))))) * * * * [misc]progress: [ 426 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 427 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (cube (sqr a)) (+ (sqr (cube b)) (cube (sqr a)))) (sqr (sqr (cube b)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (* (cube (sqr a)) (+ (sqr (cube b)) (cube (sqr a)))) (sqr (sqr (cube b))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (cube (sqr a)) (+ (sqr (cube b)) (cube (sqr a)))) (sqr (sqr (cube b)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (* (cube (sqr a)) (+ (sqr (cube b)) (cube (sqr a)))) (sqr (sqr (cube b))))))) * * * * [misc]progress: [ 428 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (- 1 a) (+ (sqr (sqr (cube b))) (* (* (cube a) (cube a)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (* (- 1 a) (+ (sqr (sqr (cube b))) (* (* (cube a) (cube a)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (* (* (- 1 a) (+ (sqr (sqr (cube b))) (* (* (cube a) (cube a)) (+ (sqr (cube b)) (* (cube a) (cube a)))))) (* (- 1 a) (+ (sqr (sqr (cube b))) (* (* (cube a) (cube a)) (+ (sqr (cube b)) (* (cube a) (cube a)))))))) * * * * [misc]progress: [ 429 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (+ 1 (* 3 a)))) (* (* (- 1 a) (+ (* (* (cube a) (cube a)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (+ (* (* (cube a) (cube a)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (sqr (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (+ 1 (* 3 a)))) (* (* (- 1 a) (+ (* (* (cube a) (cube a)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (+ (* (* (cube a) (cube a)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (sqr (* (cube b) (cube b))))))) * * * * [misc]progress: [ 430 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (* (cube a) (cube a))))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 431 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (sqr (cube b)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (sqr (cube b))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (sqr (cube b)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (sqr (cube b))))))) * * * * [misc]progress: [ 432 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (cube a) (cube a)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (sqr (* (cube b) (cube b)))) (+ (* (* (cube a) (cube a)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (sqr (* (cube b) (cube b)))))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (+ (* (* (cube a) (cube a)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (sqr (* (cube b) (cube b)))) (+ (* (* (cube a) (cube a)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (sqr (* (cube b) (cube b)))))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 433 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (437 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a))))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube b)) (sqr (cube a)))))) * * * * [misc]progress: [ 434 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1)))) (sqr (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1)))) (sqr (+ (* (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 435 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (+ (sqr a) (- 1 a)))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (+ (sqr a) (- 1 a)))) (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))))) * * * * [misc]progress: [ 436 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (- 1 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (- 1 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (+ (- (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 437 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (* (* (+ 1 (* 3 a)) (sqr (- 1 a))) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a))))) (* (* (+ 1 (* 3 a)) (sqr (- 1 a))) (+ 1 (* 3 a))))) * * * * [misc]progress: [ 438 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 439 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (sqr (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) * * * * [misc]progress: [ 440 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 441 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (- a 1))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (- a 1))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 442 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 443 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 444 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (+ (* (sqr a) (* b b)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 445 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (- (+ (* (sqr a) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 446 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))))) * * * * [misc]progress: [ 447 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) * * * * [misc]progress: [ 448 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (* (* (- 1 a) (- 1 a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (* (* (- 1 a) (- 1 a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 449 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))))) * * * * [misc]progress: [ 450 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 451 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 452 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (sqr (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))))) (sqr (- (+ (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (- (* (* b b) (* b b)) (* (sqr a) (* b b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (* b b))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 453 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (* (* b b) (* b b)))) (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 454 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (- (sqr (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* 4 (* (sqr a) (+ 1 a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (- (* (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* 4 (* (sqr a) (+ 1 a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b))))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* 4 (* (sqr a) (+ 1 a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))))) (- (* (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* 4 (* (sqr a) (+ 1 a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b))))))) (* (* (* (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (* b b) (* b b)) (- (* (sqr a) (* b b)) (* (sqr a) (sqr a))))) (* (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b)))))))) * * * * [misc]progress: [ 455 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (- (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* 4 (* (sqr a) (+ 1 a))) (* (* 4 (* b b)) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b)))) (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* 4 (* (sqr a) (+ 1 a))) (* (* 4 (* b b)) (- 1 (* 3 a)))))))) * * * * [misc]progress: [ 456 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* b a) * [exit]simplify: Simplified to (* b a) * * * * [misc]progress: [ 457 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr a) (sqr b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* (* b b) (sqr a)) * [exit]simplify: Simplified to (* (* b b) (sqr a)) * * * * [misc]progress: [ 458 / 912 ] simplifiying candidate # * * * * [misc]progress: [ 459 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqr a)) (log (sqr b))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (+ (+ (log a) (log a)) (+ (log b) (log b))) * [exit]simplify: Simplified to (+ (+ (log a) (log a)) (+ (log b) (log b))) * * * * [misc]progress: [ 460 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqr a) (sqr b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log (* (* b a) (* b a))) * [exit]simplify: Simplified to (log (* (* b a) (* b a))) * * * * [misc]progress: [ 461 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqr a) (sqr b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (exp (* (* b a) (* b a))) * [exit]simplify: Simplified to (exp (* (* b a) (* b a))) * * * * [misc]progress: [ 462 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sqr a)) (cube (sqr b))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqr (cube b)) (sqr (cube a))) * [exit]simplify: Simplified to (* (sqr (cube b)) (sqr (cube a))) * * * * [misc]progress: [ 463 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqr a) (sqr b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (cbrt (* (* b a) (* b a))) * [exit]simplify: Simplified to (cbrt (* (* b a) (* b a))) * * * * [misc]progress: [ 464 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sqr a) (sqr b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cube (* (* b a) (* b a))) * [exit]simplify: Simplified to (cube (* (* b a) (* b a))) * * * * [misc]progress: [ 465 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqr a)) (cbrt (sqr b))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (* b b)) (cbrt (sqr a))) * [exit]simplify: Simplified to (* (cbrt (* b b)) (cbrt (sqr a))) * * * * [misc]progress: [ 466 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqr a) (sqr b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (sqrt (* (* b a) (* b a))) * [exit]simplify: Simplified to (sqrt (* (* b a) (* b a))) * * * * [misc]progress: [ 467 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* b a) * [exit]simplify: Simplified to (* b a) * * * * [misc]progress: [ 468 / 912 ] simplifiying candidate # * * * * [misc]progress: [ 469 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr a) b) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (* a (* b a)) * [exit]simplify: Simplified to (* a (* b a)) * * * * [misc]progress: [ 470 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (sqr a) * [exit]simplify: Simplified to (sqr a) * * * * [misc]progress: [ 471 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* a (sqr b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (* (* b b) a) * [exit]simplify: Simplified to (* (* b b) a) * * * * [misc]progress: [ 472 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr a) (sqr b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* (* b b) (sqr a)) * [exit]simplify: Simplified to (* (* b b) (sqr a)) * * * * [misc]progress: [ 473 / 912 ] simplifiying candidate # * * * * [misc]progress: [ 474 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* b a) * [exit]simplify: Simplified to (* b a) * * * * [misc]progress: [ 475 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr a) (sqr b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* (* b b) (sqr a)) * [exit]simplify: Simplified to (* (* b b) (sqr a)) * * * * [misc]progress: [ 476 / 912 ] simplifiying candidate # * * * * [misc]progress: [ 477 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqr a)) (log (sqr b))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (+ (+ (log a) (log a)) (+ (log b) (log b))) * [exit]simplify: Simplified to (+ (+ (log a) (log a)) (+ (log b) (log b))) * * * * [misc]progress: [ 478 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqr a) (sqr b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log (* (* b a) (* b a))) * [exit]simplify: Simplified to (log (* (* b a) (* b a))) * * * * [misc]progress: [ 479 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqr a) (sqr b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (exp (* (* b a) (* b a))) * [exit]simplify: Simplified to (exp (* (* b a) (* b a))) * * * * [misc]progress: [ 480 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sqr a)) (cube (sqr b))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqr (cube b)) (sqr (cube a))) * [exit]simplify: Simplified to (* (sqr (cube b)) (sqr (cube a))) * * * * [misc]progress: [ 481 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqr a) (sqr b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (cbrt (* (* b a) (* b a))) * [exit]simplify: Simplified to (cbrt (* (* b a) (* b a))) * * * * [misc]progress: [ 482 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sqr a) (sqr b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cube (* (* b a) (* b a))) * [exit]simplify: Simplified to (cube (* (* b a) (* b a))) * * * * [misc]progress: [ 483 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqr a)) (cbrt (sqr b))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (* b b)) (cbrt (sqr a))) * [exit]simplify: Simplified to (* (cbrt (* b b)) (cbrt (sqr a))) * * * * [misc]progress: [ 484 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqr a) (sqr b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (sqrt (* (* b a) (* b a))) * [exit]simplify: Simplified to (sqrt (* (* b a) (* b a))) * * * * [misc]progress: [ 485 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* b a) * [exit]simplify: Simplified to (* b a) * * * * [misc]progress: [ 486 / 912 ] simplifiying candidate # * * * * [misc]progress: [ 487 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr a) b) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (* a (* b a)) * [exit]simplify: Simplified to (* a (* b a)) * * * * [misc]progress: [ 488 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (sqr a) * [exit]simplify: Simplified to (sqr a) * * * * [misc]progress: [ 489 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* a (sqr b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (* (* b b) a) * [exit]simplify: Simplified to (* (* b b) a) * * * * [misc]progress: [ 490 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr a) (sqr b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* (* b b) (sqr a)) * [exit]simplify: Simplified to (* (* b b) (sqr a)) * * * * [misc]progress: [ 491 / 912 ] simplifiying candidate # * * * * [misc]progress: [ 492 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (exp (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (* (exp (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (pow (pow (* (pow (exp (* b b)) (- (* b b) (sqr a))) (exp (* (sqr a) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (exp (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (pow (pow (* (pow (exp (* b b)) (- (* b b) (sqr a))) (exp (* (sqr a) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 493 / 912 ] simplifiying candidate # * * * * [misc]progress: [ 494 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (log (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (log (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 495 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (exp (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (sqr a)) (cube (* b b))) (- (cube (sqr a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (exp (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (sqr a)) (cube (* b b))) (- (cube (sqr a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 496 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (cbrt (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 497 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (cube (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (cube (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 498 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (sqrt (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 499 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * * [misc]simplify: iters left: 4 (401 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))) (sqr (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* 4 (- (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (* (sqr a) (- 1 (cube a))))) (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))) (sqr (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* 4 (- (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (* (sqr a) (- 1 (cube a))))) (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (+ (sqr a) (- 1 a)) (* (+ (sqr (* 3 a)) (* 3 a)) (+ (sqr a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (+ (sqr a) (- 1 a)) (* (+ (sqr (* 3 a)) (* 3 a)) (+ (sqr a) (- 1 a)))))) * * * * [misc]progress: [ 500 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (410 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) 4) (- (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))))) (* (* (* (* (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- (sqr a) (- a 1)))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) 4) (- (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))))) (* (* (* (* (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- (sqr a) (- a 1)))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 501 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (- 1 a) (- 1 a)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))) (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (- 1 a) (- 1 a)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))) (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (* (sqr (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (* (sqr (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 502 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (416 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a))))))) (* (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))))) (* 4 (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a))))))) (* (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))))) (* 4 (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (sqr a) (- 1 a)))) (sqr (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (sqr a) (- 1 a)))) (sqr (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a))))) * * * * [misc]progress: [ 503 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (461 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))))) (* (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))) (sqr (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))))) (* (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))))) (* (* (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) 4))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))))) (* (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))) (sqr (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))))) (* (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))))) (* (* (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ 1 a))))) (* (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ 1 a))))) (* (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 504 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * * [misc]simplify: iters left: 4 (427 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (sqr (* (* b b) (- 1 (* 3 a)))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) 4)) (- (* (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (sqr (* (* b b) (- 1 (* 3 a)))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) 4)) (- (* (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ 1 a)))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ 1 a)))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 505 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (404 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (* 4 (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))) (- (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))))) (* (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (sqr (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (* 4 (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))) (- (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))))) (* (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (sqr (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a)))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a)))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))))) * * * * [misc]progress: [ 506 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a))))))) (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a))))))) (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (* (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) * * * * [misc]progress: [ 507 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))))) (* (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (+ (sqr a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* 4 (* (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))))) (* (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (+ (sqr a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* 4 (* (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))))) (sqr (- 1 a)))) * * * * [misc]progress: [ 508 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (+ (* (- (* (sqr (+ 1 (* 3 a))) (sqr (* (- 1 (sqr a)) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (* (* (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) 4))) (* (* (* (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (* (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (- (* (sqr (+ 1 (* 3 a))) (sqr (* (- 1 (sqr a)) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (* (* (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) 4))) (* (* (* (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (* (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 509 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (468 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (sqr (* (sqr a) (+ a 1))))) (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (* (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))) (sqr (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))))) (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (* (- (cube (sqr (* (sqr a) (+ a 1)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (sqr (* (sqr a) (+ a 1))))) (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (* (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))) (sqr (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))))) (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (* (- (cube (sqr (* (sqr a) (+ a 1)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ 1 a))))) (sqr (sqr (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ 1 a))))) (sqr (sqr (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 510 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (436 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (sqr a) (+ a 1)))) (sqr (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))) (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) (* (* (* 4 (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* (* (- (sqr (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (sqr a) (+ a 1))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (sqr a) (+ a 1)))) (sqr (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))) (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) (* (* (* 4 (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* (* (- (sqr (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (sqr a) (+ a 1))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 511 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (* (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))) 4)) (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))))) (* (* (* (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (* (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))) 4)) (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))))) (* (* (* (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (sqr a) (- a 1))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (sqr a) (- a 1))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) * * * * [misc]progress: [ 512 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (367 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (* (* (+ (sqr a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a)))))) 4)) (* (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (* (* (+ (sqr a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a)))))) 4)) (* (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) * * * * [misc]progress: [ 513 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (359 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (* (* (+ (sqr a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (* (* 4 (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))))) (* (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (cube (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (* (* (+ (sqr a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (* (* 4 (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))))) (* (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (cube (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))) * * * * [misc]progress: [ 514 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (377 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (cube (* 3 a)))))) (* (* (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a)))))) (* (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))) 4))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (sqr a) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (cube (* 3 a)))))) (* (* (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a)))))) (* (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))) 4))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (sqr a) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (+ (- (sqr a) (- a 1)) (* (- (sqr a) (- a 1)) (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (+ (- (sqr a) (- a 1)) (* (- (sqr a) (- a 1)) (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))) * * * * [misc]progress: [ 515 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))))) (* (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))))) (* (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (sqr a) (- a 1)))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (sqr a) (- a 1)))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a)))))) * * * * [misc]progress: [ 516 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * * [misc]simplify: iters left: 4 (378 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (* (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* 4 (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a)))))) (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (* (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* 4 (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a)))))) (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (* (+ (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (sqr a) (- a 1)))))) * * * * [misc]progress: [ 517 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) 4)))) (* (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) 4)))) (* (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 518 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (sqr a) (+ a 1))) (* (- (* (sqr a) (+ a 1)) (* (* b b) (- 1 (* 3 a)))) 4)) (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (* (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (sqr (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (sqr a) (+ a 1))) (* (- (* (sqr a) (+ a 1)) (* (* b b) (- 1 (* 3 a)))) 4)) (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (* (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (sqr (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (sqr a) (- 1 a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (sqr a) (- 1 a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) * * * * [misc]progress: [ 519 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (342 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (sqr (+ (sqr a) (- 1 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (- (* (* (sqr a) (- 1 (cube a))) (+ 1 (* 3 a))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))))) (* (* (* 4 (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (- (* (* (sqr (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (sqr (+ (sqr a) (- 1 a)))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (+ (+ (sqr a) (- 1 a)) (* (* 3 a) (+ (sqr a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (sqr (+ (sqr a) (- 1 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (- (* (* (sqr a) (- 1 (cube a))) (+ 1 (* 3 a))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))))) (* (* (* 4 (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (- (* (* (sqr (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (sqr (+ (sqr a) (- 1 a)))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (+ (+ (sqr a) (- 1 a)) (* (* 3 a) (+ (sqr a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (+ (sqr a) (- 1 a)) (* (* 3 a) (+ (sqr a) (- 1 a))))) (* (- (+ (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (- (+ (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (+ (sqr a) (- 1 a)) (* (* 3 a) (+ (sqr a) (- 1 a))))) (* (- (+ (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (- (+ (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))))) * * * * [misc]progress: [ 520 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (315 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (+ (sqr a) (- 1 a)))) (* (* (- (* (* (- 1 (cube a)) (+ 1 (* 3 a))) (sqr a)) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b)))))) (sqr (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) (* (* 4 (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (sqr a) (- 1 (cube a))))) (* (sqr (+ (sqr a) (- 1 a))) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))))) (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (+ (sqr a) (- 1 a)))) (* (* (- (* (* (- 1 (cube a)) (+ 1 (* 3 a))) (sqr a)) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b)))))) (sqr (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) (* (* 4 (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (sqr a) (- 1 (cube a))))) (* (sqr (+ (sqr a) (- 1 a))) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))))) (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) (* (* (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) (* (* (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) * * * * [misc]progress: [ 521 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (* (* 3 a) (* 3 a))))) (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b))))))) (* (* (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (sqr (- 1 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (* (* 3 a) (* 3 a))))) (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b))))))) (* (* (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (sqr (- 1 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))))) (* (* (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))))) (* (* (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (sqr (- 1 a))))) * * * * [misc]progress: [ 522 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (* (- (* (sqr a) (* (- 1 (cube a)) (+ 1 (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (- (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (sqr a)) (sqr a))) (* (- 1 (sqr a)) (sqr a))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (* (- (* (sqr a) (* (- 1 (cube a)) (+ 1 (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (- (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (sqr a)) (sqr a))) (* (- 1 (sqr a)) (sqr a))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) (sqr (- 1 a)))) * * * * [misc]progress: [ 523 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (378 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* (* (+ 1 (* 3 a)) (- 1 (cube a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b)))))) (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (sqr (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* 4 (- (cube (sqr (* (+ a 1) (sqr a)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* (* (+ 1 (* 3 a)) (- 1 (cube a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b)))))) (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (sqr (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* 4 (- (cube (sqr (* (+ a 1) (sqr a)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* (+ 1 a) (sqr a))) (sqr (* (+ 1 a) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ 1 a) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))))) (* (- (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* (+ 1 a) (sqr a))) (sqr (* (+ 1 a) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ 1 a) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))))) (* (- (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 524 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (335 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) 4) (* (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))))) (* (* (* (- (* (* (+ 1 (* 3 a)) (- 1 (cube a))) (sqr a)) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) 4) (* (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))))) (* (* (* (- (* (* (+ 1 (* 3 a)) (- 1 (cube a))) (sqr a)) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b))))))) (* (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (sqr (* (+ 1 a) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b))))))) (* (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (sqr (* (+ 1 a) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 525 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (343 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (* 3 a) 1) (* (- 1 (cube a)) (sqr a))) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (* (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (- (sqr a) (- a 1))))) (* (* (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (sqr (- (sqr a) (- a 1))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))))) 4) (* (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (* 3 a) 1) (* (- 1 (cube a)) (sqr a))) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (* (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (- (sqr a) (- a 1))))) (* (* (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (sqr (- (sqr a) (- a 1))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))))) 4) (* (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) * * * * [misc]progress: [ 526 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (315 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (* (- (* (* (- 1 (cube a)) (+ 1 (* 3 a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))))) (* (* (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4) (- (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (sqr a) (- 1 (cube a)))) (* (sqr a) (- 1 (cube a)))) (* (sqr (- (sqr a) (- a 1))) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (* (- (* (* (- 1 (cube a)) (+ 1 (* 3 a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))))) (* (* (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4) (- (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (sqr a) (- 1 (cube a)))) (* (sqr a) (- 1 (cube a)))) (* (sqr (- (sqr a) (- a 1))) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a)))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a)))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))))) * * * * [misc]progress: [ 527 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (367 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (sqr (- 1 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))) (* (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (sqr (- 1 a)))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (sqr (- 1 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))) (* (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (sqr (- 1 a)))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (sqr (- 1 a))))) * * * * [misc]progress: [ 528 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (330 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))))) (* (* (* 4 (- (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (sqr a)) (sqr a))) (* (- 1 (sqr a)) (sqr a))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (+ (sqr a) (- 1 a)))) (* (+ 1 (* 3 a)) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))))) (* (* (* 4 (- (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (sqr a)) (sqr a))) (* (- 1 (sqr a)) (sqr a))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (+ (sqr a) (- 1 a)))) (* (+ 1 (* 3 a)) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- 1 a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- 1 a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))))) * * * * [misc]progress: [ 529 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (373 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (cube (sqr (* (sqr a) (+ a 1)))) (cube (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))))) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ a 1))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (cube (sqr (* (sqr a) (+ a 1)))) (cube (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))))) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (* (+ 1 a) (sqr a))) (sqr (* (+ 1 a) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))))) (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a))))))) * [exit]simplify: Simplified to (* (+ (* (sqr (* (+ 1 a) (sqr a))) (sqr (* (+ 1 a) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))))) (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a))))))) * * * * [misc]progress: [ 530 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (346 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1)))) (- (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1)))) (sqr (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1)))) (- (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1)))) (sqr (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) (* (+ (sqr (* (+ 1 a) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))) (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))))))) * [exit]simplify: Simplified to (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) (* (+ (sqr (* (+ 1 a) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))) (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))))))) * * * * [misc]progress: [ 531 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (sqr (- (sqr a) (- a 1)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (* (* 3 a) (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))))) (* (* (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (sqr (- (sqr a) (- a 1))))) 4) (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))))) (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (sqr (- (sqr a) (- a 1)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (* (* 3 a) (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))))) (* (* (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (sqr (- (sqr a) (- a 1))))) 4) (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))))) (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b)))))) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b)))))) * * * * [misc]progress: [ 532 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (sqr (- (sqr a) (- a 1)))))) 4) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (sqr (- (sqr a) (- a 1)))))) 4) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a)))) (sqr (+ (* (sqr (cube a)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a)))) (sqr (+ (* (sqr (cube a)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b)))))) * * * * [misc]progress: [ 533 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (* 4 (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))) (- (* (* (sqr (* (sqr a) (- 1 (sqr a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (sqr (- 1 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))))) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a))))))) (* (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (+ (* (* (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (* 4 (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))) (- (* (* (sqr (* (sqr a) (- 1 (sqr a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (sqr (- 1 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))))) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a))))))) (* (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- 1 a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a))) (sqr (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b)))))) (* (sqr (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a))) (sqr (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b)))))) (* (sqr (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (- 1 a)))) * * * * [misc]progress: [ 534 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) (* (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (* 4 (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a))))))) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))))) (* (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) (* (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (* 4 (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a))))))) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))))) (* (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (* (cube b) (cube b)) (* (cube b) (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (+ (* 3 a) 1))) (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (sqr (+ (* (* (cube b) (cube b)) (* (cube b) (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (+ (* 3 a) 1))) (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 535 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (343 enodes) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))))) (* (* (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (sqr (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) (* 4 (- (sqr (cube (* (sqr a) (+ a 1)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))))) (* (* (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (sqr (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) (* 4 (- (sqr (cube (* (sqr a) (+ a 1)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (+ (sqr (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a)))))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (* (+ (sqr (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a)))))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))))) * * * * [misc]progress: [ 536 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))))) (* (* (* (* 4 (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))))) (* (* (* (* 4 (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (* (* (+ (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) * * * * [misc]progress: [ 537 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (307 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) 4)) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))))) (* (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (- 1 (sqr (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) 4)) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))))) (* (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (- 1 (sqr (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (- (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (- (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 538 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))))) (* (sqr (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (* 4 (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))))) (* (sqr (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (* 4 (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (425 enodes) * [exit]simplify: Simplified to (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))))) * * * * [misc]progress: [ 539 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 540 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b))))))) (* (* 4 (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b))))))) (* (* 4 (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (- 1 a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (- 1 a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))))) * * * * [misc]progress: [ 541 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (+ (* (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (- 1 a))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) (* (* 4 (- (* (* (sqr (* (sqr a) (- 1 (sqr a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- 1 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))))) * [exit]simplify: Simplified to (+ (* (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (- 1 a))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) (* (* 4 (- (* (* (sqr (* (sqr a) (- 1 (sqr a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- 1 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 542 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (+ (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b)))))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (* (- (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (- (+ (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b)))))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (* (- (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- 1 a))) (sqr (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (- 1 a) (+ (+ (* 3 a) (sqr (* 3 a))) 1)))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- 1 a))) (sqr (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (- 1 a) (+ (+ (* 3 a) (sqr (* 3 a))) 1)))) * * * * [misc]progress: [ 543 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (404 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))))) (* (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* 4 (- (cube (sqr (* (+ a 1) (sqr a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))))) (* (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* 4 (- (cube (sqr (* (+ a 1) (sqr a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (sqr (+ (* (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (+ (sqr (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (sqr (+ (* (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (+ (sqr (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))))))) * * * * [misc]progress: [ 544 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (362 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* 4 (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))))) (* (* (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (* (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* 4 (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))))) (* (* (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (* (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))))) * * * * [misc]progress: [ 545 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (+ (* (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (* (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b))))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))) (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (* (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b))))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))) (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (* (sqr (- (sqr a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (* (sqr (- (sqr a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) * * * * [misc]progress: [ 546 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))) (* (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))) (* (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (- 1 a) (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (- 1 a) (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))))) * * * * [misc]progress: [ 547 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (342 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (- 1 a)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b))))))) (* (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))))) (- (* (* (sqr (* (sqr a) (- 1 (sqr a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (- 1 a)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b))))))) (* (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))))) (- (* (* (sqr (* (sqr a) (- 1 (sqr a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b))))) (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a))))) (* (* (* (sqr (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b))))) (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a))))) (* (* (* (sqr (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) * * * * [misc]progress: [ 548 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (350 enodes) * [exit]simplify: Simplified to (+ (* (* (- (+ (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (* (* 4 (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a))))))) (* (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (* (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (- 1 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (- (+ (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (* (* 4 (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a))))))) (* (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (* (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (- 1 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (- 1 a) (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) * [exit]simplify: Simplified to (* (* (* (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (- 1 a) (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) * * * * [misc]progress: [ 549 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * * [misc]simplify: iters left: 4 (400 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (sqr (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) 4)) (- (cube (sqr (* (sqr a) (+ a 1)))) (cube (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ a 1)))))) (* (- (+ (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (sqr (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) 4)) (- (cube (sqr (* (sqr a) (+ a 1)))) (cube (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ a 1)))))) (* (- (+ (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (* (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * * * * [misc]progress: [ 550 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* 4 (- (sqr (sqr (* (sqr a) (+ a 1)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1)))) (sqr (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* 4 (- (sqr (sqr (* (sqr a) (+ a 1)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1)))) (sqr (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 551 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (sqr a) (- 1 (sqr a))) (- (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (* (* (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (sqr (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) 4)) (- (* (sqr (* (sqr a) (- 1 (cube a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (sqr a) (- 1 (sqr a))) (- (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (* (* (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (sqr (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) 4)) (- (* (sqr (* (sqr a) (- 1 (cube a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (- 1 a)))) * * * * [misc]progress: [ 552 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (347 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (* (sqr (+ 1 (* 3 a))) (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a))))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (* (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))))) (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (+ (* (sqr a) (- 1 (sqr a))) (- (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (* (sqr (+ 1 (* 3 a))) (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a))))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (* (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))))) (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (+ (* (sqr a) (- 1 (sqr a))) (- (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ (* 3 a) 1))) (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b))))) (* (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b)))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ (* 3 a) 1))) (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b))))) (* (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b)))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 553 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) 4) (- (* (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (sqr (- 1 a)))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) 4) (- (* (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (sqr (- 1 a)))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (387 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a))))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a))))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- 1 a)))) * * * * [misc]progress: [ 554 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a))))))) (* 4 (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a)))))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))))) (+ (* (sqr a) (- 1 (sqr a))) (- (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a))))))) (* 4 (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a)))))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))))) (+ (* (sqr a) (- 1 (sqr a))) (- (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (sqr (- 1 a)))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (sqr (- 1 a)))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (- 1 a)))) * * * * [misc]progress: [ 555 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (367 enodes) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b))))))) (* (* (* (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) (* 4 (- (sqr (cube (* (sqr a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b))))))) (* (* (* (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) (* 4 (- (sqr (cube (* (sqr a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (+ (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ 1 a) (sqr a))))) (* (sqr (* (+ 1 a) (sqr a))) (sqr (* (+ 1 a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (+ (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ 1 a) (sqr a))))) (* (sqr (* (+ 1 a) (sqr a))) (sqr (* (+ 1 a) (sqr a)))))) * * * * [misc]progress: [ 556 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))) (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a)))))) (* (* (* (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) 4) (- (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))))) (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a)))))) (* (* (* (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) 4) (- (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (441 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b))))) (* (* (- 1 a) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ 1 a) (sqr a)))))) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b))))) (* (* (- 1 a) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ 1 a) (sqr a)))))) * * * * [misc]progress: [ 557 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) 4) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) (* (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) 4) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) (* (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (431 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (- 1 a) (+ (+ (* 3 a) 1) (sqr (* 3 a)))))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (- 1 a) (+ (+ (* 3 a) 1) (sqr (* 3 a)))))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * * * * [misc]progress: [ 558 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* 4 (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (sqr (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))) (* (- (cube (cube (sqr a))) (cube (sqr (cube b)))) (- (cube (cube (sqr a))) (cube (sqr (cube b)))))) (+ (- (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (sqr a) (- 1 (sqr a)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* 4 (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (sqr (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))) (* (- (cube (cube (sqr a))) (cube (sqr (cube b)))) (- (cube (cube (sqr a))) (cube (sqr (cube b)))))) (+ (- (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (sqr a) (- 1 (sqr a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (* (+ (sqr (* 3 a)) (+ (* 3 a) 1)) (- 1 a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (* (+ (sqr (* 3 a)) (+ (* 3 a) 1)) (- 1 a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) * * * * [misc]progress: [ 559 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (353 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (sqr a)))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (* (sqr (+ (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (sqr (- (sqr a) (- a 1))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a))))))) (* (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (sqr (- (sqr a) (- a 1))))) 4))) * [exit]simplify: Simplified to (+ (* (* (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (sqr a)))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (* (sqr (+ (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (sqr (- (sqr a) (- a 1))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a))))))) (* (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (sqr (- (sqr a) (- a 1))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (- 1 a) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a)))))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (- 1 a) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a)))))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 560 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (329 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) (* (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (sqr (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) (* (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (sqr (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (492 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))))) (sqr (- (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))))) (sqr (- (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * * * * [misc]progress: [ 561 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* 4 (- (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (* (- 1 a) (- 1 a)) (sqr (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- 1 a) (- 1 a)))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* 4 (- (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (* (- 1 a) (- 1 a)) (sqr (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- 1 a) (- 1 a)))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) * * * * [misc]progress: [ 562 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b))))))) (* (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) 4) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (- 1 a) (- 1 a)) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b))))))) (* (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) 4) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (- 1 a) (- 1 a)) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (* (+ (* (* (cube b) (cube b)) (* (cube b) (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (* (* (cube b) (cube b)) (* (cube b) (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (- 1 a) (+ 1 (* 3 a))))) (sqr (- (* (* (* b b) (* (+ a b) (- b a))) (* (* b b) (* (+ a b) (- b a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (* (+ (* (* (cube b) (cube b)) (* (cube b) (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (* (* (cube b) (cube b)) (* (cube b) (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (- 1 a) (+ 1 (* 3 a))))) (sqr (- (* (* (* b b) (* (+ a b) (- b a))) (* (* b b) (* (+ a b) (- b a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))))) * * * * [misc]progress: [ 563 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* 4 (- (cube (sqr (* (sqr a) (+ a 1)))) (cube (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))))) (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ a 1))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* 4 (- (cube (sqr (* (sqr a) (+ a 1)))) (cube (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))))) (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- 1 a) (+ 1 (* 3 a)))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- 1 a) (+ 1 (* 3 a)))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))))) * * * * [misc]progress: [ 564 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* 4 (- (sqr (sqr (* (sqr a) (+ a 1)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1)))) (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* 4 (- (sqr (sqr (* (sqr a) (+ a 1)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1)))) (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (- (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ 1 a)) (* (sqr a) (+ 1 a)))) (- (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) * * * * [misc]progress: [ 565 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (365 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (cube (sqr a)) (cube (sqr a))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* 4 (* (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) (- (* (sqr (* (sqr a) (- 1 (cube a)))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (sqr (- (sqr a) (- a 1)))))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (cube (sqr a)) (cube (sqr a))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* 4 (* (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) (- (* (sqr (* (sqr a) (- 1 (cube a)))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (sqr (- (sqr a) (- a 1)))))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (* (cube b) (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (+ (sqr a) (- 1 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (* (+ 1 (* 3 a)) (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b)))) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (+ (sqr a) (- 1 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (* (+ 1 (* 3 a)) (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b)))) (- 1 a)))) * * * * [misc]progress: [ 566 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (335 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (- 1 a) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) (* (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) (+ 1 (* 3 a)))) (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (* 3 a))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))))) (* (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (- 1 a) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) (* (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) (+ 1 (* 3 a)))) (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (* 3 a))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))))) (* (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) * * * * [misc]progress: [ 567 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (334 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (sqr (- 1 a)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) 4)) (* (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))) (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))) (sqr (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (sqr (- 1 a)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) 4)) (* (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))) (- (* (cube (cube a)) (cube (cube a))) (cube (sqr (cube b)))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))) (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))) (sqr (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube b)) (sqr (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (sqr (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube b)) (sqr (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (sqr (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) * * * * [misc]progress: [ 568 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (sqr (- 1 a)))) (* 4 (sqr (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) (* (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (sqr a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (+ 1 (* 3 a))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (sqr (- 1 a)))) (* 4 (sqr (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) (* (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (sqr a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (+ 1 (* 3 a))) (sqr (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (- 1 a) (+ 1 (* 3 a)))) (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (- 1 a) (+ 1 (* 3 a)))) (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a))))))) * * * * [misc]progress: [ 569 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (347 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (- 1 a) (+ 1 (* 3 a)))) (* 4 (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))))) (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1))))) (sqr (sqr (* (sqr a) (+ a 1))))) (* (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (- 1 a) (+ 1 (* 3 a)))) (* 4 (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))))) (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1))))) (sqr (sqr (* (sqr a) (+ a 1))))) (* (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a)))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a)))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) * * * * [misc]progress: [ 570 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a)))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (sqr a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b))))))) (* (* (* (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))) (- 1 a)) (* (* (+ 1 (* 3 a)) (* (- (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) 4)))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a)))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (sqr a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b))))))) (* (* (* (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))) (- 1 a)) (* (* (+ 1 (* 3 a)) (* (- (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (+ (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))) (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (+ (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))) (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))))) * * * * [misc]progress: [ 571 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (326 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) 1)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (* (- (* (* (sqr (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (sqr (- (sqr a) (- a 1))) (sqr (* (* b b) (- 1 (cube (* 3 a))))))) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (- 1 a) (* (* 3 a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) 1)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (* (- (* (* (sqr (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (sqr (- (sqr a) (- a 1))) (sqr (* (* b b) (- 1 (cube (* 3 a))))))) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (- 1 a) (* (* 3 a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (sqr (+ (sqr a) (- 1 a))) (* (+ (* 3 a) 1) (- 1 a)))) (sqr (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (sqr (+ (sqr a) (- 1 a))) (* (+ (* 3 a) 1) (- 1 a)))) (sqr (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b)))))) * * * * [misc]progress: [ 572 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (sqr (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))))) (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (sqr (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))))) (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (* (+ 1 (* 3 a)) (- 1 a))) (sqr (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (* (+ 1 (* 3 a)) (- 1 a))) (sqr (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) * * * * [misc]progress: [ 573 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))))) (* (- (* (* (sqr (* (sqr a) (- 1 (sqr a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (sqr (- 1 a)))) 4)) (* (* (- (* (- 1 (sqr a)) (* (sqr a) (+ 1 (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (* (* 3 a) (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))))) (* (- (* (* (sqr (* (sqr a) (- 1 (sqr a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (sqr (- 1 a)))) 4)) (* (* (- (* (- 1 (sqr a)) (* (sqr a) (+ 1 (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (* (* 3 a) (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (* (sqr (- 1 a)) (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (+ (cube (sqr a)) (sqr (cube b))) (sqr (cube b))))) (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (sqr (- 1 a)) (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (+ (cube (sqr a)) (sqr (cube b))) (sqr (cube b))))) (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 574 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (* (- 1 a) (- 1 a))))) (* (* (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (+ (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))) (* (cube (sqr a)) (cube (sqr a)))))))) (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (* (- 1 a) (- 1 a)))) (* (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b)))))) (- (* (* (+ 1 (* 3 a)) (- 1 (sqr a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (* (- 1 a) (- 1 a))))) (* (* (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (+ (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))) (* (cube (sqr a)) (cube (sqr a)))))))) (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (* (- 1 a) (- 1 a)))) (* (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b)))))) (- (* (* (+ 1 (* 3 a)) (- 1 (sqr a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (* 3 a))) (sqr (- 1 a))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (* 3 a))) (sqr (- 1 a))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b)))))) * * * * [misc]progress: [ 575 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (cube (cube (sqr a))) (cube (sqr (cube b)))) (- (cube (cube (sqr a))) (cube (sqr (cube b)))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))))) (* (* (* (* (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) 4) (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))) (* (cube (sqr a)) (cube (sqr a)))) (* (+ (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))) (* (cube (sqr a)) (cube (sqr a)))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (cube (cube (sqr a))) (cube (sqr (cube b)))) (- (cube (cube (sqr a))) (cube (sqr (cube b)))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))))) (* (* (* (* (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) 4) (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))) (* (cube (sqr a)) (cube (sqr a)))) (* (+ (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))) (* (cube (sqr a)) (cube (sqr a)))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (* (+ (sqr (sqr (* (+ 1 a) (sqr a)))) (* (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ 1 a) (sqr a)))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ 1 (* 3 a)) (- 1 a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (* (+ (sqr (sqr (* (+ 1 a) (sqr a)))) (* (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ 1 a) (sqr a)))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ 1 (* 3 a)) (- 1 a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))))) * * * * [misc]progress: [ 576 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))) 4) (- (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))))) (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))) 4) (- (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))))) (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (sqr (cube b))))) (* (* (- 1 a) (+ 1 (* 3 a))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (sqr (cube b))))) (* (* (- 1 a) (+ 1 (* 3 a))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 577 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))) 4)))) (* (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))) 4)))) (* (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (- (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (- (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * * * * [misc]progress: [ 578 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a)))) (* (- (cube (cube (sqr a))) (cube (* (cube b) (cube b)))) (- (cube (cube (sqr a))) (cube (* (cube b) (cube b)))))) (- (* (* (+ 1 (* 3 a)) (- 1 (sqr a))) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a)))))) (* (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* 4 (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (sqr (+ (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (cube (sqr a)) (cube (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a)))) (* (- (cube (cube (sqr a))) (cube (* (cube b) (cube b)))) (- (cube (cube (sqr a))) (cube (* (cube b) (cube b)))))) (- (* (* (+ 1 (* 3 a)) (- 1 (sqr a))) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a)))))) (* (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* 4 (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (sqr (+ (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (cube (sqr a)) (cube (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (361 enodes) * [exit]simplify: Simplified to (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (* (sqr (+ (* (sqr (cube b)) (sqr (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (- 1 a) (+ 1 (* 3 a))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))))) * [exit]simplify: Simplified to (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (* (sqr (+ (* (sqr (cube b)) (sqr (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (- 1 a) (+ 1 (* 3 a))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))))) * * * * [misc]progress: [ 579 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (346 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))))) (* (* (* (* 4 (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (- (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))))) (* (* (* (* 4 (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (- (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (sqr (- (+ (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (sqr (- (+ (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 580 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (* b b) (- 1 (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))) (* (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (* b b) (- 1 (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))) (* (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 581 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (326 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) 4)) (- (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))))) (* (* (* (- (cube (cube (sqr a))) (cube (sqr (cube b)))) (- (cube (cube (sqr a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) 4)) (- (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))))) (* (* (* (- (cube (cube (sqr a))) (cube (sqr (cube b)))) (- (cube (cube (sqr a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (sqr (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (sqr (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- 1 a)))) * * * * [misc]progress: [ 582 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) (* (* (* (* 4 (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (sqr a)) (sqr a))) (* (- 1 (sqr a)) (sqr a))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) (* (* (* (* 4 (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (sqr a)) (sqr a))) (* (- 1 (sqr a)) (sqr a))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))))) (* (sqr (+ (* 3 a) 1)) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))))) (* (sqr (+ (* 3 a) 1)) (sqr (- 1 a)))) * * * * [misc]progress: [ 583 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (+ (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))) (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) 4) (* (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (+ (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))) (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) 4) (* (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (+ (sqr (sqr (* (+ 1 a) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))))) (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (+ (sqr (sqr (* (+ 1 a) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))))) (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 584 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) 4) (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))))) (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) 4) (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))))) (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))) (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))) (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 585 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (353 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a))))) (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))))) (* (* 4 (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) (- (* (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))))) (* (* (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a))))) (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))))) (* (* 4 (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) (- (* (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))))) (* (* (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) * * * * [misc]progress: [ 586 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (334 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) * * * * [misc]progress: [ 587 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (329 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (- 1 a)))) (* (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))) (* (- (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (sqr (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (- 1 a)))) (* (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))) (* (- (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (sqr (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))))))) * * * * [misc]progress: [ 588 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))))) (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))))) (* (* (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))))) (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))))) (* (* (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (* (sqr (- 1 a)) (sqr (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (* (sqr (- 1 a)) (sqr (+ (* 3 a) 1))))) * * * * [misc]progress: [ 589 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * * [misc]simplify: iters left: 4 (320 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) 4)) (* (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a)))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) (* (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) 4)) (* (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a)))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) (* (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (* (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))) (sqr (sqr (* (+ 1 a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (* (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))) (sqr (sqr (* (+ 1 a) (sqr a))))))) * * * * [misc]progress: [ 590 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (- (cube (cube (sqr a))) (cube (sqr (cube b)))) (- (cube (cube (sqr a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* 4 (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (sqr (+ (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))) (* (cube (sqr a)) (cube (sqr a)))))) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (- (cube (cube (sqr a))) (cube (sqr (cube b)))) (- (cube (cube (sqr a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* 4 (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (sqr (+ (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))) (* (cube (sqr a)) (cube (sqr a)))))) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))) * * * * [misc]progress: [ 591 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- (sqr a) (- a 1))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (- (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- (sqr a) (- a 1))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (- (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (* (sqr (- (sqr a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (* (sqr (- (sqr a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) * * * * [misc]progress: [ 592 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* 4 (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* 4 (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (sqr a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (sqr a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 593 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a)))) (sqr (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))))) (* 4 (- (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a)))) (sqr (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))))) (* 4 (- (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) * * * * [misc]progress: [ 594 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (* (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (- 1 (sqr a)) (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (* 4 (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))))) (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (* (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (- 1 (sqr a)) (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (* 4 (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))))) (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (492 enodes) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1))) (* (sqr (+ (* (sqr (cube a)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1))) (* (sqr (+ (* (sqr (cube a)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))))))) * * * * [misc]progress: [ 595 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (* 4 (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))) (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))) (cube (* (sqr a) (sqr a))))) (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a)))))) (* (* (* (- (cube (cube (sqr a))) (cube (* (cube b) (cube b)))) (- (cube (cube (sqr a))) (cube (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (sqr (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (* 4 (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))) (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))) (cube (* (sqr a) (sqr a))))) (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a)))))) (* (* (* (- (cube (cube (sqr a))) (cube (* (cube b) (cube b)))) (- (cube (cube (sqr a))) (cube (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (sqr (* (+ a 1) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a))))) (sqr (sqr (* (+ 1 a) (sqr a))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a))))) (sqr (sqr (* (+ 1 a) (sqr a))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 596 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) 4))) (* (sqr (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))))) (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) 4))) (* (sqr (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))))) (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a))))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a))))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) * * * * [misc]progress: [ 597 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* 4 (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* 4 (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (sqr (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (sqr (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 598 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (sqr (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))))) (* (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) (* (* 4 (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (sqr (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))))) (* (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) (* (* 4 (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))))) * * * * [misc]progress: [ 599 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * * [misc]simplify: iters left: 4 (315 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- (* (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4)))) (* (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- (* (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4)))) (* (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * * * * [misc]progress: [ 600 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) (* (* 4 (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) (* (* 4 (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 601 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) (* (* (- (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (sqr (- 1 a)))) (* 4 (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) (* (* (- (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (sqr (- 1 a)))) (* 4 (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 602 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 603 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (sqr (* (+ a 1) (sqr a))))) (* (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (* (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) 4) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (sqr (* (+ a 1) (sqr a))))) (* (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (* (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) 4) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (sqr (sqr (* (+ 1 a) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a))))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (sqr (sqr (* (+ 1 a) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a))))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) * * * * [misc]progress: [ 604 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) (sqr (- (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* 4 (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) (sqr (- (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* 4 (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a))))) * * * * [misc]progress: [ 605 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))))) (* (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))))) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))) (* 4 (- (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))))) (* (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))))) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))) (* 4 (- (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (* (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))) (* (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))) (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (* (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))) (* (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))) (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 606 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (- (* (sqr (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (* 3 a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))))) (* (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (- (* (sqr (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (* 3 a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (+ (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a)))))) (* (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 607 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- 1 a)))) (* (* (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) 4) (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- 1 a)))) (* (* (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) 4) (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (* (* (* (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))) (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (* (* (* (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))) (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (- 1 a)))) * * * * [misc]progress: [ 608 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a)))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a)))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a))))) (* (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a)))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a)))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a))))) (* (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))))) * * * * [misc]progress: [ 609 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a)))) (* (* (- (cube (cube (sqr a))) (cube (sqr (cube b)))) (- (cube (cube (sqr a))) (cube (sqr (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))))) (* (* 4 (- (sqr (cube (* (+ a 1) (sqr a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a))) (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a)))) (* (* (- (cube (cube (sqr a))) (cube (sqr (cube b)))) (- (cube (cube (sqr a))) (cube (sqr (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b))))))) (* (* 4 (- (sqr (cube (* (+ a 1) (sqr a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (+ (sqr (sqr (* (+ 1 a) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ 1 a) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) (+ (sqr (sqr (* (+ 1 a) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ 1 a) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 610 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) 4) (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (sqr (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))))) (* (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) 4) (* (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (sqr (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))))) (* (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) * * * * [misc]progress: [ 611 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* 4 (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))) (* (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* 4 (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))) (* (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (sqr a) (- a 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) * * * * [misc]progress: [ 612 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (* 4 (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (* 4 (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b)))) (* (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b)))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b)))) (* (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (cube b)) (sqr (cube b)))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 613 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) 4)) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (+ (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (cube (sqr a)) (cube (sqr a))))) (+ (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (cube (sqr a)) (cube (sqr a)))))) (* (* (* (sqr (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) 4)) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (+ (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (cube (sqr a)) (cube (sqr a))))) (+ (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (cube (sqr a)) (cube (sqr a)))))) (* (* (* (sqr (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b)))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b)))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b)))))) * * * * [misc]progress: [ 614 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a)))) (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (* (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a)))) (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (* (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (sqr (cube b)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (sqr (cube b)))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (sqr (cube b)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (sqr (cube b)))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) * * * * [misc]progress: [ 615 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- (sqr (cube (* (+ a 1) (sqr a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4)))) (* (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (- (sqr (cube (* (+ a 1) (sqr a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4)))) (* (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ 1 a) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (+ 1 a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ 1 a) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (+ 1 a) (sqr a)))))) * * * * [misc]progress: [ 616 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (+ (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b)))))) (* (* (* (sqr (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) 4) (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))) (* (cube (sqr a)) (cube (sqr a))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (+ (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b)))))) (* (* (* (sqr (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) 4) (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))) (* (cube (sqr a)) (cube (sqr a))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))))) * [exit]simplify: Simplified to (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))))) * * * * [misc]progress: [ 617 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (* 4 (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (- (cube (cube (sqr a))) (cube (sqr (cube b)))) (- (cube (cube (sqr a))) (cube (sqr (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (* 4 (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (- (cube (cube (sqr a))) (cube (sqr (cube b)))) (- (cube (cube (sqr a))) (cube (sqr (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (* (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (* (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) * * * * [misc]progress: [ 618 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (* (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) (* 4 (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (* (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) (* 4 (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (sqr (cube b))))) (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))))) * [exit]simplify: Simplified to (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (sqr (cube b))))) (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a))))) * * * * [misc]progress: [ 619 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (383 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (* (sqr a) (- 1 (cube a))))) (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))))) (* (* (* (+ (sqr a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (+ (sqr a) (- 1 a)))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (* (sqr a) (- 1 (cube a))))) (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))))) (* (* (* (+ (sqr a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (+ (sqr a) (- 1 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (sqr a) (- a 1)))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (+ (- (sqr a) a) 1))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (sqr a) (- a 1)))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (+ (- (sqr a) a) 1))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 620 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * * [misc]simplify: iters left: 4 (397 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))))) (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) 4))) (* (* (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (+ (* (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))))) (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) 4))) (* (* (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (sqr a) (- a 1)))) (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (sqr a) (- a 1)))) (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) * * * * [misc]progress: [ 621 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (390 enodes) * [exit]simplify: Simplified to (+ (* (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) 4))) (* (* (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))))) (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) 4))) (* (* (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))))) (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (sqr a) (- 1 a)))) (* (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- 1 a))) (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (sqr a) (- 1 a)))) (* (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- 1 a))) (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a))))))) * * * * [misc]progress: [ 622 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ (cube (* b b)) (sqr (cube a))) (* (+ (cube (* b b)) (sqr (cube a))) (+ (sqr a) (- 1 a)))))) (sqr (- (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ (cube (* b b)) (sqr (cube a))) (* (+ (cube (* b b)) (sqr (cube a))) (+ (sqr a) (- 1 a)))))) (sqr (- (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * * * * [misc]progress: [ 623 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * * [misc]simplify: iters left: 4 (445 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* (- (cube (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (+ (* (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))))) (* (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))) (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (sqr (* (sqr a) (sqr a)))))) (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (sqr (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* (- (cube (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (+ (* (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))))) (* (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))) (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (sqr (* (sqr a) (sqr a)))))) (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (sqr (* (sqr a) (sqr a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (+ 1 (- (sqr a) a)))) (* (+ (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (sqr a) (+ a 1))))) (sqr (sqr (* (sqr a) (+ a 1))))) (sqr (- (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))))) * [exit]simplify: Simplified to (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (+ 1 (- (sqr a) a)))) (* (+ (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (sqr a) (+ a 1))))) (sqr (sqr (* (sqr a) (+ a 1))))) (sqr (- (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))))) * * * * [misc]progress: [ 624 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (415 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) (sqr (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (- (* (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) 4)))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) (sqr (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (- (* (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))))) * * * * [misc]progress: [ 625 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * * [misc]simplify: iters left: 4 (383 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b))))) (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (sqr (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))))) (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4)) (- (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b))))) (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (sqr (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))))) (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4)) (- (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 626 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (390 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (sqr a) (- 1 a))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) 4) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))) (- (* (sqr (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (* 3 a)))) (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))))) (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))))) (* (* (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (sqr a) (- 1 a))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) 4) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))) (- (* (sqr (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (* 3 a)))) (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))))) (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))))) (* (* (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (sqr a) (- 1 a)))) (* (* (* (sqr (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (sqr a) (- 1 a)))) (* (* (* (sqr (+ (sqr a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) * * * * [misc]progress: [ 627 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) 4) (* (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))))) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 a) (- 1 a)))) (* (* (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) 4) (* (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))))) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 a) (- 1 a)))) (* (* (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (492 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (- 1 a) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (sqr a) (- a 1))))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (- 1 a) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (sqr a) (- a 1))))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) * * * * [misc]progress: [ 628 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) (* (* 4 (- (* (sqr (+ 1 (* 3 a))) (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a))))))) (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) (* (* 4 (- (* (sqr (+ 1 (* 3 a))) (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a))))))) (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a))))) (* (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a))))) (* (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 629 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (451 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (sqr (* (sqr a) (+ a 1))))) (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (- (sqr (cube (* (sqr a) (+ a 1)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) 4) (sqr (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (sqr (* (sqr a) (+ a 1))))) (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (- (sqr (cube (* (sqr a) (+ a 1)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) 4) (sqr (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (* (* (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (+ (* (cube b) (cube b)) (cube (sqr a))) (+ (* (cube b) (cube b)) (cube (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (- (sqr a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (+ (* (cube b) (cube b)) (cube (sqr a))) (+ (* (cube b) (cube b)) (cube (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))))) * * * * [misc]progress: [ 630 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (* (- (sqr (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (sqr a) (+ a 1)))))) (* 4 (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (sqr a) (+ a 1)))) (sqr (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (* (- (sqr (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (sqr a) (+ a 1)))))) (* 4 (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (sqr a) (+ a 1)))) (sqr (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (- (sqr a) (- a 1)) (* (- (sqr a) (- a 1)) (+ (sqr (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (- (sqr a) (- a 1)) (* (- (sqr a) (- a 1)) (+ (sqr (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 631 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (344 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) (* 4 (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) (- (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) (* 4 (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) (- (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (sqr a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (sqr a) (- 1 a))))) * * * * [misc]progress: [ 632 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (362 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) (* (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (* (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) 4) (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) (* (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (* (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) 4) (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (* 3 a))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (sqr (cube b)) (sqr (cube a))) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (* 3 a))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (sqr (cube b)) (sqr (cube a))) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr a) (- 1 a))))) * * * * [misc]progress: [ 633 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (357 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) (* (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) 4) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) (* (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) 4) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (sqr (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (sqr (- 1 a)) (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a)))))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) * [exit]simplify: Simplified to (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (sqr (- 1 a)) (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a)))))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) * * * * [misc]progress: [ 634 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (357 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (sqr a) (- 1 a))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (sqr (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a)))))) (* (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a)))))) 4)) (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (cube (* 3 a)))))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (sqr a) (- 1 a))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (sqr (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a)))))) (* (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a)))))) 4)) (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (cube (* 3 a)))))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (* (- (sqr a) (- a 1)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (* (- (sqr a) (- a 1)) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))) * * * * [misc]progress: [ 635 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * * [misc]simplify: iters left: 4 (400 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (- (cube (* (sqr a) (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (cube (* (sqr a) (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a))))))) (* (* (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (- (cube (* (sqr a) (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (cube (* (sqr a) (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a))))))) (* (* (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (* (- (sqr a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (* (- (sqr a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))))) * * * * [misc]progress: [ 636 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (376 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) (+ (- (sqr a) (- a 1)) (* (+ (sqr (* 3 a)) (* 3 a)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) (+ (- (sqr a) (- a 1)) (* (+ (sqr (* 3 a)) (* 3 a)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 637 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (367 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))) (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (sqr a) (+ a 1))) (- (* (sqr a) (+ a 1)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))) (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (sqr a) (+ a 1))) (- (* (sqr a) (+ a 1)) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (* (* b b) (+ b a)) (- b a)) (* (* (* b b) (+ b a)) (- b a))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (- (* (* (* (* b b) (+ b a)) (- b a)) (* (* (* b b) (+ b a)) (- b a))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) * [exit]simplify: Simplified to (* (* (- (* (* (* (* b b) (+ b a)) (- b a)) (* (* (* b b) (+ b a)) (- b a))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (sqr a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (- (* (* (* (* b b) (+ b a)) (- b a)) (* (* (* b b) (+ b a)) (- b a))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) * * * * [misc]progress: [ 638 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (368 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) (* (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (sqr a) (+ a 1))) 4) (- (* (sqr a) (+ a 1)) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) (* (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (sqr a) (+ a 1))) 4) (- (* (sqr a) (+ a 1)) (* (* b b) (- 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (+ (- (sqr a) a) 1)) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (+ (- (sqr a) a) 1)) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) * * * * [misc]progress: [ 639 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (- 1 (sqr (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (sqr (+ (sqr a) (- 1 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (- (* (* (sqr (* (- 1 (cube a)) (sqr a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (sqr (+ (sqr a) (- 1 a))))) (* (* (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4)))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (- 1 (sqr (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (sqr (+ (sqr a) (- 1 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (- (* (* (sqr (* (- 1 (cube a)) (sqr a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (sqr (+ (sqr a) (- 1 a))))) (* (* (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (- (sqr a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (- (sqr a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 640 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (- 1 (cube a)) (+ 1 (* 3 a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (* (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) (* (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (- (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (sqr (- (sqr a) (- a 1))) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (- 1 (cube a)) (+ 1 (* 3 a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (* (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) (* (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (- (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (sqr (- (sqr a) (- a 1))) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a)))) (* (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a)))) (* (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ (* 3 a) 1)))) * * * * [misc]progress: [ 641 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (343 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (* (* 3 a) (* 3 a))))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))))) (* (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (sqr (- 1 a)) (sqr (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4)))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (* (* 3 a) (* 3 a))))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))))) (* (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (sqr (- 1 a)) (sqr (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (cube (* b b)) (sqr (cube a))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (cube (* b b)) (sqr (cube a)))))) (* (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (cube (* b b)) (sqr (cube a))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (cube (* b b)) (sqr (cube a)))))) (* (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 642 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* (* (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (* (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* (* (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (* (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a)))) (* (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a)))) (* (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 643 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (361 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (sqr (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (- (* (* (+ 1 (* 3 a)) (- 1 (cube a))) (sqr a)) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (+ (* (- (cube (sqr (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (- (* (* (+ 1 (* 3 a)) (- 1 (cube a))) (sqr a)) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))))) (* (* (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))))) (* (* (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 644 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))))) (* (* (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* 4 (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))))) (* (* (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))) (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 645 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a)))) 4) (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (sqr a) (- 1 (cube a))))) (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (sqr (+ (sqr a) (- 1 a)))))) (* (* (* (- (* (* (sqr a) (- 1 (cube a))) (+ (* 3 a) 1)) (* (- 1 (sqr (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (+ (sqr a) (- 1 a))))) (sqr (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a)))) 4) (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (sqr a) (- 1 (cube a))))) (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (sqr (+ (sqr a) (- 1 a)))))) (* (* (* (- (* (* (sqr a) (- 1 (cube a))) (+ (* 3 a) 1)) (* (- 1 (sqr (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (+ (sqr a) (- 1 a))))) (sqr (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (sqr (+ (- 1 a) (sqr a)))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (+ (cube (* b b)) (sqr (cube a))) (* (* (+ (* 3 a) 1) (+ (- 1 a) (sqr a))) (+ (cube (* b b)) (sqr (cube a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (sqr (+ (- 1 a) (sqr a)))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (+ (cube (* b b)) (sqr (cube a))) (* (* (+ (* 3 a) 1) (+ (- 1 a) (sqr a))) (+ (cube (* b b)) (sqr (cube a)))))) * * * * [misc]progress: [ 646 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (* (- (* (sqr (* (sqr a) (- 1 (cube a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (sqr (+ (sqr a) (- 1 a))))) (* 4 (sqr (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))))) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (+ (sqr a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (* (- (* (sqr (* (sqr a) (- 1 (cube a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (sqr (+ (sqr a) (- 1 a))))) (* 4 (sqr (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))))) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (+ (sqr a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr a) (- 1 a))) (sqr (+ (* 3 a) 1))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a)))) (+ (* (+ (sqr a) (- 1 a)) (* 3 a)) (+ (sqr a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr a) (- 1 a))) (sqr (+ (* 3 a) 1))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a)))) (+ (* (+ (sqr a) (- 1 a)) (* 3 a)) (+ (sqr a) (- 1 a))))) * * * * [misc]progress: [ 647 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) 4) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (* (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (* (sqr (- 1 a)) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) 4) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (* (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (* (sqr (- 1 a)) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- 1 a))) (* (* (+ (sqr (cube b)) (cube (sqr a))) (* (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a))) (+ (sqr (cube b)) (cube (sqr a))))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- 1 a))) (* (* (+ (sqr (cube b)) (cube (sqr a))) (* (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a))) (+ (sqr (cube b)) (cube (sqr a))))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 648 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))))) (* (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))))) (* (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* 3 a) 1) (sqr (- 1 a))) (+ (* 3 a) 1)) (+ (sqr (cube b)) (* (cube a) (cube a)))) (* (* (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1)) (+ (sqr (cube b)) (* (cube a) (cube a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* 3 a) 1) (sqr (- 1 a))) (+ (* 3 a) 1)) (+ (sqr (cube b)) (* (cube a) (cube a)))) (* (* (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1)) (+ (sqr (cube b)) (* (cube a) (cube a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) * * * * [misc]progress: [ 649 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (cube (sqr (* (sqr a) (+ a 1)))) (cube (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))))) (* (* (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ a 1))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (cube (sqr (* (sqr a) (+ a 1)))) (cube (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))))) (* (* (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (* (+ (cube (* b b)) (* (cube a) (cube a))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))) (+ (* (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (* (+ (cube (* b b)) (* (cube a) (cube a))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))) (+ (* (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))))) * * * * [misc]progress: [ 650 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1)))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))) (* (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) (- (sqr (sqr (* (sqr a) (+ a 1)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1)))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))) (* (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) (- (sqr (sqr (* (sqr a) (+ a 1)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (sqr (cube b)) (sqr (cube a))))) * [exit]simplify: Simplified to (* (* (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (sqr (cube b)) (sqr (cube a))))) * * * * [misc]progress: [ 651 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) (* 4 (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) (- (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (* (sqr a) (- 1 (cube a))))) (* (sqr (+ (sqr a) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (sqr (+ (sqr a) (- 1 a)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* (* (sqr a) (- 1 (cube a))) (+ (* 3 a) 1)) (* (- 1 (* (* 3 a) (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) (* 4 (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) (- (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (* (sqr a) (- 1 (cube a))))) (* (sqr (+ (sqr a) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (sqr (+ (sqr a) (- 1 a)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* (* (sqr a) (- 1 (cube a))) (+ (* 3 a) 1)) (* (- 1 (* (* 3 a) (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (sqr (cube b)) (sqr (cube a)))) (* (sqr (+ (sqr a) (- 1 a))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (sqr (cube b)) (sqr (cube a)))) (* (sqr (+ (sqr a) (- 1 a))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 652 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (* 4 (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (sqr (+ (sqr a) (- 1 a)))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (+ (sqr a) (- 1 a)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (- (* (* (- 1 (cube a)) (+ 1 (* 3 a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (* 4 (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (sqr (+ (sqr a) (- 1 a)))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (+ (sqr a) (- 1 a)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (- (* (* (- 1 (cube a)) (+ 1 (* 3 a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a))))) (* (- (sqr a) (- a 1)) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a))))) (* (- (sqr a) (- a 1)) (+ (* 3 a) 1))) * * * * [misc]progress: [ 653 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- 1 a)))) (* (* (* (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- 1 a)))) (* (* (* (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (sqr (- 1 a))) (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (sqr (- 1 a))) (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))))) * * * * [misc]progress: [ 654 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))))) (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) 4) (* (* (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))))) (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) 4) (* (* (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b)))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* 3 a) 1)) (+ (sqr (cube b)) (* (cube a) (cube a)))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (sqr (cube b)) (* (cube a) (cube a))))) (sqr (- 1 a))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* 3 a) 1)) (+ (sqr (cube b)) (* (cube a) (cube a)))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (sqr (cube b)) (* (cube a) (cube a))))) (sqr (- 1 a))) * * * * [misc]progress: [ 655 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (323 enodes) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (sqr (* b b)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (sqr (* b b))))))) (* (* (* (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (- (* (+ 1 (* 3 a)) (* (- 1 (cube a)) (sqr a))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (sqr (* b b)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (sqr (* b b))))))) (* (* (* (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 656 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (+ (* (- (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* 4 (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a))))))) (* (* (- (* (* (+ 1 (* 3 a)) (- 1 (cube a))) (sqr a)) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))))) * [exit]simplify: Simplified to (+ (* (- (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a)))) (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* 4 (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a))))))) (* (* (- (* (* (+ 1 (* 3 a)) (- 1 (cube a))) (sqr a)) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (* (* (+ (cube (* b b)) (sqr (cube a))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (cube (* b b)) (sqr (cube a))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))))) * [exit]simplify: Simplified to (* (* (+ (cube (* b b)) (sqr (cube a))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (cube (* b b)) (sqr (cube a))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))))) * * * * [misc]progress: [ 657 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (+ (* (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (* (- (* (* (+ 1 (* 3 a)) (- 1 (cube a))) (sqr a)) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (+ (sqr (cube a)) (sqr (cube b))))) (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* 4 (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (* (- (* (* (+ 1 (* 3 a)) (- 1 (cube a))) (sqr a)) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (* (* (+ 1 (* 3 a)) (+ (sqr a) (- 1 a))) (+ (sqr (cube a)) (sqr (cube b))))) (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* 4 (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (- (* (* b b) (* b b)) (* (* a b) (* a b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (- (sqr (- (* (* b b) (* b b)) (* (* a b) (* a b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (- (sqr (- (* (* b b) (* b b)) (* (* a b) (* a b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (- (sqr (- (* (* b b) (* b b)) (* (* a b) (* a b)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a))))) * * * * [misc]progress: [ 658 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (- (sqr a) (- a 1)))) (* (+ 1 (* 3 a)) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (* (+ 1 (* 3 a)) (- 1 (cube a))) (sqr a)) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (- (sqr a) (- a 1)))) (* (+ 1 (* 3 a)) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (* (+ 1 (* 3 a)) (- 1 (cube a))) (sqr a)) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (sqr (cube b)) (* (cube a) (cube a))))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (sqr (cube b)) (* (cube a) (cube a))))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) * * * * [misc]progress: [ 659 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (354 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (- 1 a)))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4)) (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (- 1 a)))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4)) (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (sqr (* 3 a))))) (* (* (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (- (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (- (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (sqr (* 3 a))))) (* (* (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (- (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (- (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * * * * [misc]progress: [ 660 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))))) (* (* (- (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a)))))) 4) (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))))) (* (* (- (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a)))))) 4) (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a))))) (- 1 a)) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1)))) (sqr (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a))))) (- 1 a)) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1)))) (sqr (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * * * * [misc]progress: [ 661 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- 1 a))) (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4)) (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (- 1 a)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- 1 a))) (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) 4)) (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (- 1 a)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (sqr (* 3 a))))) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a))) (sqr (- (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (sqr (* 3 a))))) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a))) (sqr (- (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))))) * * * * [misc]progress: [ 662 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (329 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a))))))) (* (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))))) (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (* (+ (* (sqr a) (- 1 (sqr a))) (- (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a))))))) (* (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))))) (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (* (+ (* (sqr a) (- 1 (sqr a))) (- (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (* (+ (* (cube b) (cube b)) (cube (sqr a))) (+ (* (cube b) (cube b)) (cube (sqr a)))) (- 1 a))) (sqr (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (* (+ (* (cube b) (cube b)) (cube (sqr a))) (+ (* (cube b) (cube b)) (cube (sqr a)))) (- 1 a))) (sqr (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))))) * * * * [misc]progress: [ 663 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (- 1 a)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* 4 (- (cube (sqr (* (+ a 1) (sqr a)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))))) (* (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (- 1 a)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* 4 (- (cube (sqr (* (+ a 1) (sqr a)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))))) (* (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- 1 a) (+ (* (cube b) (cube b)) (sqr (cube a)))) (+ (* (cube b) (cube b)) (sqr (cube a)))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) (- (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (- (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- 1 a) (+ (* (cube b) (cube b)) (sqr (cube a)))) (+ (* (cube b) (cube b)) (sqr (cube a)))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) (- (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (- (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 664 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * * [misc]simplify: iters left: 4 (348 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ b a) (- b a)))))))) (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (* (+ (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (* (+ (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* 4 (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ b a) (- b a)))))))) (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (* (+ (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (* (+ (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (- 1 a) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (- 1 a) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 665 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * * [misc]simplify: iters left: 4 (360 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (- 1 a))) (* (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) 4))) (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (+ (* (- (* (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (- 1 a))) (* (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) 4))) (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (- (sqr a) (- a 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (* 3 a)) (- 1 a)))) (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (sqr (- (sqr a) (- a 1)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (* 3 a)) (- 1 a)))) (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (sqr (- (sqr a) (- a 1)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) * * * * [misc]progress: [ 666 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a)))))) 4) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a)))))) 4) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (sqr (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (* (+ (sqr (cube b)) (cube (sqr a))) (* (+ (sqr (cube b)) (cube (sqr a))) (- 1 a))) (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (* (+ (sqr (cube b)) (cube (sqr a))) (* (+ (sqr (cube b)) (cube (sqr a))) (- 1 a))) (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)))) * * * * [misc]progress: [ 667 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (320 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (- 1 a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* 4 (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (- 1 a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* 4 (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (378 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- 1 a) (- 1 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (* 3 a)) (- 1 a)))) (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- 1 a) (- 1 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (* 3 a)) (- 1 a)))) (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 668 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr a) (- 1 (sqr a))) (- (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a)))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a))))) (* (* (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (* (+ (sqr (cube a)) (sqr (cube b))) (- 1 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* 4 (- (* (sqr (+ 1 (* 3 a))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr a) (- 1 (sqr a))) (- (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a)))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a))))) (* (* (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (* (+ (sqr (cube a)) (sqr (cube b))) (- 1 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* 4 (- (* (sqr (+ 1 (* 3 a))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (* (* (* (+ (* 3 a) 1) (* (- 1 a) (- 1 a))) (+ (* 3 a) 1)) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (- 1 a) (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))))) * [exit]simplify: Simplified to (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (* (* (* (+ (* 3 a) 1) (* (- 1 a) (- 1 a))) (+ (* 3 a) 1)) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (- 1 a) (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))))) * * * * [misc]progress: [ 669 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (383 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* 4 (- (cube (sqr (* (sqr a) (+ a 1)))) (cube (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (sqr (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ a 1)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* 4 (- (cube (sqr (* (sqr a) (+ a 1)))) (cube (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (sqr (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ a 1)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))))) * * * * [misc]progress: [ 670 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (340 enodes) * [exit]simplify: Simplified to (+ (* (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1))))) (* (* (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (- (sqr (sqr (* (sqr a) (+ a 1)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (+ (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))) (* (* b b) (sqr a)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1))))) (* (* (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (- (sqr (sqr (* (sqr a) (+ a 1)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (+ (cube (* b b)) (sqr (cube a))) (- 1 a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (+ (cube (* b b)) (sqr (cube a))) (- 1 a))) (+ (cube (* b b)) (sqr (cube a)))) (* (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 671 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (* (- 1 a) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) 4) (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) (- (* (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- (sqr a) (- a 1))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- (sqr a) (- a 1)))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (* (- 1 a) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) 4) (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) (- (* (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- (sqr a) (- a 1))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- (sqr a) (- a 1)))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a)))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (sqr (* 3 a))))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (- (sqr a) (- a 1)))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a)))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (sqr (* 3 a))))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (- (sqr a) (- a 1)))) * * * * [misc]progress: [ 672 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (339 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a)))))) (* (* (* (* 4 (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (- (* (sqr (+ 1 (* 3 a))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a))))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a)))))) (* (* (* (* 4 (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (- (* (sqr (+ 1 (* 3 a))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a))))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- (sqr a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (- 1 a))) * [exit]simplify: Simplified to (* (* (* (sqr (- (sqr a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (- 1 a))) * * * * [misc]progress: [ 673 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (* 4 (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (* (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (sqr (- 1 a))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- 1 a))) (+ (* (sqr a) (- 1 (sqr a))) (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (* 4 (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (* (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (sqr (- 1 a))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- 1 a))) (+ (* (sqr a) (- 1 (sqr a))) (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (sqr (* 3 a))))) (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (sqr (* 3 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- 1 a)) * [exit]simplify: Simplified to (* (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (sqr (* 3 a))))) (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (sqr (* 3 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- 1 a)) * * * * [misc]progress: [ 674 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) 4)) (* (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))))) (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) 4)) (* (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))))) (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (- 1 a)) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (- 1 a)) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (sqr (- 1 a)))))) * * * * [misc]progress: [ 675 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (357 enodes) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (sqr (* b b)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (sqr (* b b))))))) (* (* (* (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (sqr (* b b)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (sqr (* b b))))))) (* (* (* (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))))) (* (* (- 1 a) (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a))))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1))) * [exit]simplify: Simplified to (* (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))))) (* (* (- 1 a) (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a))))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1))) * * * * [misc]progress: [ 676 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (341 enodes) * [exit]simplify: Simplified to (+ (* (- (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))))) * [exit]simplify: Simplified to (+ (* (- (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (- 1 a)) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) * [exit]simplify: Simplified to (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (- 1 a)) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) * * * * [misc]progress: [ 677 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* (sqr a) (sqr a))) (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (+ (* (sqr a) (- 1 (sqr a))) (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a)))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (- 1 a)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* 4 (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* (sqr a) (sqr a))) (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (* (+ (* (sqr a) (- 1 (sqr a))) (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a)))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (- 1 a)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* 4 (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube b) (cube b)) (cube (sqr a))) (* (* (- 1 a) (+ (* (cube b) (cube b)) (cube (sqr a)))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1))) (sqr (- (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube b) (cube b)) (cube (sqr a))) (* (* (- 1 a) (+ (* (cube b) (cube b)) (cube (sqr a)))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1))) (sqr (- (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * * * * [misc]progress: [ 678 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4)) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (* (sqr (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))))) (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4)) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (* (sqr (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))))) (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 a)) (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * [exit]simplify: Simplified to (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (* (* (- 1 a) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a))))) (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)))) * [exit]simplify: Simplified to (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (* (* (- 1 a) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a))))) (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)))) * * * * [misc]progress: [ 679 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (352 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (sqr (+ (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (sqr (- (sqr a) (- a 1))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))))) (* (* (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (sqr (+ (cube (sqr a)) (* (cube b) (cube b))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* 4 (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (- (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (sqr (* (sqr a) (- 1 (cube a))))) (* (sqr (- (sqr a) (- a 1))) (sqr (* (- 1 (cube (* 3 a))) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (sqr (+ (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (sqr (- (sqr a) (- a 1))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))))) (* (* (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (sqr (+ (cube (sqr a)) (* (cube b) (cube b))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* 4 (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (- (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (sqr (* (sqr a) (- 1 (cube a))))) (* (sqr (- (sqr a) (- a 1))) (sqr (* (- 1 (cube (* 3 a))) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (* (* (+ (cube (* b b)) (sqr (cube a))) (* (+ (cube (* b b)) (sqr (cube a))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) (* (* (- (* (* (* (* b b) (+ b a)) (- b a)) (* (* (* b b) (+ b a)) (- b a))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (- (* (* (* (* b b) (+ b a)) (- b a)) (* (* (* b b) (+ b a)) (- b a))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (- (sqr a) (- a 1))))))) * [exit]simplify: Simplified to (* (* (+ (cube (* b b)) (sqr (cube a))) (* (+ (cube (* b b)) (sqr (cube a))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) (* (* (- (* (* (* (* b b) (+ b a)) (- b a)) (* (* (* b b) (+ b a)) (- b a))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (- (* (* (* (* b b) (+ b a)) (- b a)) (* (* (* b b) (+ b a)) (- b a))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (- (sqr a) (- a 1))))))) * * * * [misc]progress: [ 680 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4)) (* (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (* 3 a))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (sqr (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4)) (* (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (* 3 a))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (sqr (+ (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (- 1 a) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (- 1 a) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 681 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (317 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4) (- (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (sqr (- 1 a)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (sqr (- 1 a))) (* (- (* (- 1 (sqr a)) (* (sqr a) (+ (* 3 a) 1))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4) (- (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (sqr (- 1 a)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (sqr (- 1 a))) (* (- (* (- 1 (sqr a)) (* (sqr a) (+ (* 3 a) 1))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))))) (sqr (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (* (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (* (* (+ (* (cube b) (cube b)) (cube (sqr a))) (+ (* (cube b) (cube b)) (cube (sqr a)))) (* (+ 1 (* 3 a)) (- 1 a))))) (* (sqr (- 1 a)) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))))) * [exit]simplify: Simplified to (* (* (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (* (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (* (* (+ (* (cube b) (cube b)) (cube (sqr a))) (+ (* (cube b) (cube b)) (cube (sqr a)))) (* (+ 1 (* 3 a)) (- 1 a))))) (* (sqr (- 1 a)) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))))) * * * * [misc]progress: [ 682 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (sqr (- 1 a)))))) (* (* (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (* 3 a))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (sqr (- 1 a)))))) (* (* (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (* 3 a))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (361 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 683 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (334 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (sqr (cube (* (sqr a) (+ a 1)))) (cube (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ a 1))))) (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))) (sqr (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (sqr (cube (* (sqr a) (+ a 1)))) (cube (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ a 1))))) (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))))) (sqr (+ (- (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (* (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (* (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))))) * * * * [misc]progress: [ 684 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (- (sqr (sqr (* (sqr a) (+ a 1)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) 4) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (- (sqr (sqr (* (sqr a) (+ a 1)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) 4) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (* (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (* (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 685 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * * [misc]simplify: iters left: 4 (338 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* (* (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (- 1 a) (+ (* 3 a) 1))) 4) (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))))) (* (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (- (* (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* (* (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (- 1 a) (+ (* 3 a) 1))) 4) (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))))) (* (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (* (+ (* 3 a) 1) (- 1 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a)))) (* (+ (* 3 a) 1) (- 1 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 686 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (317 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* 4 (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* 4 (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (* (- 1 a) (+ (* 3 a) 1))) (+ (sqr (cube b)) (* (cube a) (cube a))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (* (- 1 a) (+ (* 3 a) 1))) (+ (sqr (cube b)) (* (cube a) (cube a))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 687 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))) (* (* 4 (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (- 1 a))))) (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (- 1 (sqr a)) (+ 1 (* 3 a))) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))) (* (* 4 (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (- 1 a))))) (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- 1 a))) (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (+ (* (* 3 a) (- 1 a)) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- 1 a))) (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (+ (* (* 3 a) (- 1 a)) (- 1 a))))) * * * * [misc]progress: [ 688 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (sqr a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (cube (* b b)) (cube (* b b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (cube (* b b)) (cube (* b b)))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (+ 1 (* 3 a))) (sqr (- 1 a))))) (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (+ (cube (sqr a)) (cube (* b b))))) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* 4 (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (sqr (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (sqr a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (cube (* b b)) (cube (* b b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (cube (* b b)) (cube (* b b)))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (+ 1 (* 3 a))) (sqr (- 1 a))))) (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (+ (cube (sqr a)) (cube (* b b))))) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* 4 (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (sqr (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 689 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1))))) (sqr (sqr (* (sqr a) (+ a 1))))) (* (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (sqr a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b))))) (sqr (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) 4))) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1))))) (sqr (sqr (* (sqr a) (+ a 1))))) (* (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (sqr a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b))))) (sqr (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))))) * * * * [misc]progress: [ 690 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* 4 (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (* (- 1 a) (+ 1 (* 3 a))) (+ (* (cube a) (cube a)) (sqr (cube b))))))) (* (* (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* 4 (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (* (* (- 1 a) (+ 1 (* 3 a))) (+ (* (cube a) (cube a)) (sqr (cube b))))))) (* (* (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube b)) (cube (sqr a))) (* (+ (sqr (cube b)) (cube (sqr a))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (* (+ (* (* b b) (sqr a)) (* (+ (sqr a) (* b b)) (- (sqr a) (* b b)))) (+ (* (* b b) (sqr a)) (* (+ (sqr a) (* b b)) (- (sqr a) (* b b))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube b)) (cube (sqr a))) (* (+ (sqr (cube b)) (cube (sqr a))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (* (+ (* (* b b) (sqr a)) (* (+ (sqr a) (* b b)) (- (sqr a) (* b b)))) (+ (* (* b b) (sqr a)) (* (+ (sqr a) (* b b)) (- (sqr a) (* b b))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))))) * * * * [misc]progress: [ 691 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))) (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))) (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) 1)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))) (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))) (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) 1)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (sqr (+ (sqr a) (- 1 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) * [exit]simplify: Simplified to (* (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (sqr (+ (sqr a) (- 1 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) * * * * [misc]progress: [ 692 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (* 3 a))) (* (* (* b b) (- 1 a)) (- 1 (sqr (* 3 a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (* (* (* 4 (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (* 3 a) (- 1 a)) (- 1 a))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (* 3 a))) (* (* (* b b) (- 1 a)) (- 1 (sqr (* 3 a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (* (* (* 4 (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (* 3 a) (- 1 a)) (- 1 a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (* (+ (* 3 a) 1) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (* (+ (* 3 a) 1) (- 1 a)))) * * * * [misc]progress: [ 693 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- 1 (sqr a)) (* (sqr a) (+ 1 (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (* (* 3 a) (* 3 a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* 4 (- (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (sqr (- 1 a))))) (* (* (* (+ 1 (* 3 a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- 1 a) (+ (* (cube a) (cube a)) (sqr (cube b))))) (sqr (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (- 1 (sqr a)) (* (sqr a) (+ 1 (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (* (* 3 a) (* 3 a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* 4 (- (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (sqr (- 1 a))))) (* (* (* (+ 1 (* 3 a)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- 1 a) (+ (* (cube a) (cube a)) (sqr (cube b))))) (sqr (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (* (sqr (- 1 a)) (* (+ (cube (* b b)) (* (cube a) (cube a))) (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (* (- 1 a) (* 3 a)) (- 1 a))))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) * [exit]simplify: Simplified to (* (* (sqr (- 1 a)) (* (+ (cube (* b b)) (* (cube a) (cube a))) (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (* (- 1 a) (* 3 a)) (- 1 a))))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) * * * * [misc]progress: [ 694 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (sqr (+ 1 (* 3 a))) (sqr (- 1 a)))) (* (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (sqr (- 1 a)))) (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* 4 (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (sqr (+ 1 (* 3 a))) (sqr (- 1 a)))) (* (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (sqr (- 1 a)))) (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* 4 (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (* (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (+ (* (cube b) (cube b)) (cube (sqr a))) (* (+ (* 3 a) 1) (- 1 a))) (+ (* (cube b) (cube b)) (cube (sqr a))))) * [exit]simplify: Simplified to (* (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (+ (* (cube b) (cube b)) (cube (sqr a))) (* (+ (* 3 a) 1) (- 1 a))) (+ (* (cube b) (cube b)) (cube (sqr a))))) * * * * [misc]progress: [ 695 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))) (* (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) 4)) (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (* (+ (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b)))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b)))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))) (* (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) 4)) (* (* (- (* (sqr a) (* (- 1 (sqr a)) (+ 1 (* 3 a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (* (+ (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b)))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b)))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (* (sqr a) (+ a 1))) (sqr (* (sqr a) (+ a 1)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a)))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) * [exit]simplify: Simplified to (* (+ (* (sqr (* (sqr a) (+ a 1))) (sqr (* (sqr a) (+ a 1)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a)))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) * * * * [misc]progress: [ 696 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (+ 1 (* 3 a))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (* 4 (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (* (- (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (sqr a)))) (* (* (* b b) (- 1 a)) (- 1 (sqr (* 3 a))))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (+ 1 (* 3 a))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (* 4 (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (* (- (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (sqr a)))) (* (* (* b b) (- 1 a)) (- 1 (sqr (* 3 a))))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (sqr a) (+ a 1)))) (* (+ (cube (* b b)) (sqr (cube a))) (* (* (+ (* 3 a) 1) (- 1 a)) (+ (cube (* b b)) (sqr (cube a)))))) * [exit]simplify: Simplified to (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (sqr a) (+ a 1)))) (* (+ (cube (* b b)) (sqr (cube a))) (* (* (+ (* 3 a) 1) (- 1 a)) (+ (cube (* b b)) (sqr (cube a)))))) * * * * [misc]progress: [ 697 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (+ 1 (* 3 a))) (sqr (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) 4))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (* (- (* (* (+ 1 (* 3 a)) (- 1 (sqr a))) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))))) (sqr (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (+ 1 (* 3 a))) (sqr (+ (cube (sqr a)) (sqr (cube b))))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) 4))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (* (- (* (* (+ 1 (* 3 a)) (- 1 (sqr a))) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))))) (sqr (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (305 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (* (+ (cube (* b b)) (cube (sqr a))) (* (+ (cube (* b b)) (cube (sqr a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (* (+ (cube (* b b)) (cube (sqr a))) (* (+ (cube (* b b)) (cube (sqr a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 698 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (+ 1 (* 3 a)) (- 1 (sqr a))) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* 4 (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))) (* (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (+ 1 (* 3 a)) (- 1 (sqr a))) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))))) (* (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* 4 (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))) (* (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (+ (sqr (cube b)) (sqr (cube a))) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (+ (sqr (cube b)) (sqr (cube a))) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) * * * * [misc]progress: [ 699 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (334 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (* (* 4 (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))))) (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (* (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (* (* 4 (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))))) (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (* (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (cube b) (cube b)) (cube (sqr a))) (+ (* (cube b) (cube b)) (cube (sqr a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a))))) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (cube b) (cube b)) (cube (sqr a))) (+ (* (cube b) (cube b)) (cube (sqr a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a))))) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * * * * [misc]progress: [ 700 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (* (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))))) (* (* (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) 4))) (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (* (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))))) (* (* (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) 4))) (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (+ (* 3 a) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (+ (* 3 a) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))))) * * * * [misc]progress: [ 701 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (sqr (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (- (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (sqr (- 1 a))))) (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (sqr (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))))) (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (- (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (sqr (- 1 a))))) (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (- (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (- (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 702 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (cube (* b b)) (cube (sqr a))) (+ (cube (* b b)) (cube (sqr a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (cube (* b b)) (cube (sqr a))) (+ (cube (* b b)) (cube (sqr a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ (* 3 a) 1)))) * * * * [misc]progress: [ 703 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) 4) (* (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) 4) (* (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))) (sqr (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a))))))) * * * * [misc]progress: [ 704 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (* (cube (* b b)) (cube (* b b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (cube (* b b)) (cube (* b b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a)))) (sqr (+ (cube (sqr a)) (cube (* b b))))) (* 4 (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (* (cube (* b b)) (cube (* b b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (cube (* b b)) (cube (* b b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a)))) (sqr (+ (cube (sqr a)) (cube (* b b))))) (* 4 (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (sqr a)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (sqr a)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a))))))) * * * * [misc]progress: [ 705 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (333 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) (* (* (- (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) 4)) (* (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) (* (* (- (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) 4)) (* (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))))) * * * * [misc]progress: [ 706 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))) (- (* (sqr (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (* 3 a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))) (- (* (sqr (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (* 3 a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1)))) (+ (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1)))) (+ (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a))))) * * * * [misc]progress: [ 707 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a)))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4) (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))))) (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a)))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))) 4) (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))))) (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (sqr (- 1 a)))) * * * * [misc]progress: [ 708 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))))) (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (sqr (- 1 a)))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (sqr (- 1 a)))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 709 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (+ (* (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (sqr (* b b)))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (sqr (* b b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (sqr (+ (cube (sqr a)) (sqr (cube b))))) (* (* 4 (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (sqr (* b b)))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (sqr (* b b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (sqr (+ (cube (sqr a)) (sqr (cube b))))) (* (* 4 (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))) (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))) (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 710 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (sqr a)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (cube (* b b)) (cube (sqr a))) (+ (cube (* b b)) (cube (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (sqr a)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (cube (* b b)) (cube (sqr a))) (+ (cube (* b b)) (cube (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * * * * [misc]progress: [ 711 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))) (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (sqr (+ (sqr a) (- 1 a))))) (+ (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a))))) * [exit]simplify: Simplified to (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (sqr (+ (sqr a) (- 1 a))))) (+ (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a))))) * * * * [misc]progress: [ 712 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (* (* (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) 4) (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (* (* (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) 4) (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))) (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))))) * [exit]simplify: Simplified to (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))))) * * * * [misc]progress: [ 713 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* 4 (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (- (* (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (cube (sqr a)) (sqr (cube b)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* 4 (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (- (* (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a))))) (+ (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) * * * * [misc]progress: [ 714 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) (* (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) 4)) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) (* (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) 4)) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (+ a 1) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a))))) * * * * [misc]progress: [ 715 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (sqr (sqr (* (+ a 1) (sqr a)))))) (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4)) (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (* (- (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (sqr (sqr (* (+ a 1) (sqr a)))))) (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4)) (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))))) * * * * [misc]progress: [ 716 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) 4)) (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) 4)) (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (+ a 1) (sqr a)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a))))) (+ (* (* (+ a 1) (sqr a)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 717 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) 4))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) 4))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))))) * * * * [misc]progress: [ 718 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) (* (* 4 (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) (* (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (- (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) (* (* 4 (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) (* (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (- (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a))))) * * * * [misc]progress: [ 719 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b))))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* 4 (- (* (* (sqr (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))))) (* (* (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b))))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* 4 (- (* (* (sqr (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))))) (* (* (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (* (+ (cube (* b b)) (cube (sqr a))) (+ (cube (* b b)) (cube (sqr a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (- (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))) (- (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))))) * [exit]simplify: Simplified to (* (* (* (+ (cube (* b b)) (cube (sqr a))) (+ (cube (* b b)) (cube (sqr a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (- (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))) (- (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))))) * * * * [misc]progress: [ 720 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (* 3 a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4) (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (* (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (* 3 a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4) (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* (* (sqr (+ 1 (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (* (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))) (+ (sqr (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 721 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) (* (* (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (* b b) (- 1 (cube (* 3 a))))))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) 4)) (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) (* (* (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (* b b) (- 1 (cube (* 3 a))))))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) 4)) (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (- 1 a)))) (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (- 1 a)))) (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 722 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4) (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))) (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 723 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (cube (* b b)) (cube (* b b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (cube (* b b)) (cube (* b b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (sqr (* (+ a 1) (sqr a))))))) (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (sqr (cube a)) (cube (* b b))) (+ (sqr (cube a)) (cube (* b b))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* 4 (- (sqr (cube (* (+ a 1) (sqr a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (cube (* b b)) (cube (* b b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (cube (* b b)) (cube (* b b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (sqr (* (+ a 1) (sqr a))))))) (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (sqr (cube a)) (cube (* b b))) (+ (sqr (cube a)) (cube (* b b))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* 4 (- (sqr (cube (* (+ a 1) (sqr a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a)))))))) * * * * [misc]progress: [ 724 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) 4) (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) 4) (* (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 725 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (* (* (* 4 (sqr (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (- (* (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) (* (* (* 4 (sqr (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (- (* (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (sqr (+ (sqr (cube a)) (sqr (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 726 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (cube a)))) (* (sqr a) (- 1 (cube a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* 4 (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (cube a)))) (* (sqr a) (- 1 (cube a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (sqr (- (* (sqr a) (sqr a)) (* (- (* b b) (sqr a)) (* b b)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (sqr (- (* (sqr a) (sqr a)) (* (- (* b b) (sqr a)) (* b b)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 727 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (cube (sqr a)) (sqr (cube b))) (+ (cube (sqr a)) (sqr (cube b))))) (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))))) (* (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (cube (sqr a)) (sqr (cube b))) (+ (cube (sqr a)) (sqr (cube b))))) (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))))) (* (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 728 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a)))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))))) (* (* (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4) (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a)))) (+ (* (- (sqr a) (* b b)) (+ (* b b) (sqr a))) (* (* b b) (sqr a))))) (* (* (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4) (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) * [exit]simplify: Simplified to (* (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) * * * * [misc]progress: [ 729 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) 4)) (* (* (* (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))) (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (sqr (* b b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (sqr (* b b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (+ (* (cube a) (cube a)) (sqr (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) 4)) (* (* (* (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b)))) (+ (* (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (- (sqr a) (* b b))))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (sqr (* b b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (sqr (* b b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (+ (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (+ (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))))) * * * * [misc]progress: [ 730 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (sqr (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (sqr (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) * * * * [misc]progress: [ 731 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (sqr (- (sqr a) (- a 1)))))) (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (* (* (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a)))) 4) (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a)))))) (- (* (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (sqr (- (sqr a) (- a 1)))))) (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (* (* (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a)))) 4) (- (sqr (* b b)) (* (sqr a) (- (* b b) (sqr a)))))) (- (* (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 732 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) 4)))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (+ (* (cube a) (cube a)) (* (cube b) (cube b))) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (429 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (cube b)) (cube (sqr a))) (+ (sqr (cube b)) (cube (sqr a))))) * * * * [misc]progress: [ 733 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (sqr (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))) 4) (- (* (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (sqr (+ (* (cube a) (cube a)) (sqr (cube b))))) (sqr (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))) 4) (- (* (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 734 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) (* (* (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (- 1 (sqr a)) (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4) (* (sqr (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (sqr (- 1 a)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) (* (* (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (- 1 (sqr a)) (sqr a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4) (* (sqr (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 735 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) 4) (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) 4) (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))))) (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))))) (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 736 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (* (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) 4)) (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (* (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) 4)) (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (493 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) * * * * [misc]progress: [ 737 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* 4 (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* 4 (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (* (* (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a))))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a))))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 738 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* 4 (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (sqr (+ (sqr (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (- (sqr (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* 4 (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))))) (* (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))) (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (sqr (* b b)))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (sqr (+ (sqr (cube a)) (sqr (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) * * * * [misc]progress: [ 739 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))))) (* (- (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) 4)) (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))))) (* (- (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) 4)) (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (+ (- (* a a) a) 1) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- (+ (sqr (- (* (sqr b) (sqr b)) (* (* a b) (* a b)))) (sqr (* (* a a) (* a a)))) (* (- (* (sqr b) (sqr b)) (* (* a b) (* a b))) (* (* a a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (+ (- (* a a) a) 1) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- (+ (sqr (- (* (sqr b) (sqr b)) (* (* a b) (* a b)))) (sqr (* (* a a) (* a a)))) (* (- (* (sqr b) (sqr b)) (* (* a b) (* a b))) (* (* a a) (* a a))))))) * * * * [misc]progress: [ 740 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr a) (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (- (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))))))) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr a) (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (- (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))))))) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (+ (sqr a) (- 1 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (+ (* 3 a) 1))) (* (* (- (sqr (- (* (sqr b) (sqr b)) (* (* a b) (* a b)))) (* (* (* a a) (* a a)) (- (* (sqr b) (sqr b)) (* (* a a) (+ (sqr b) (* a a)))))) (* (+ (- (* a a) a) 1) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (- (sqr (- (* (sqr b) (sqr b)) (* (* a b) (* a b)))) (* (* (* a a) (* a a)) (- (* (sqr b) (sqr b)) (* (* a a) (+ (sqr b) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (+ (* 3 a) 1))) (* (* (- (sqr (- (* (sqr b) (sqr b)) (* (* a b) (* a b)))) (* (* (* a a) (* a a)) (- (* (sqr b) (sqr b)) (* (* a a) (+ (sqr b) (* a a)))))) (* (+ (- (* a a) a) 1) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (- (sqr (- (* (sqr b) (sqr b)) (* (* a b) (* a b)))) (* (* (* a a) (* a a)) (- (* (sqr b) (sqr b)) (* (* a a) (+ (sqr b) (* a a)))))))) * * * * [misc]progress: [ 741 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (338 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (* (- (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) 4)) (* (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (* (sqr (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (* (- (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) 4)) (* (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (* (sqr (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (- (* a a) (- a 1))) (sqr (- (+ (sqr (* (sqr b) (- (sqr b) (* a a)))) (sqr (* (* a a) (* a a)))) (* (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (- (* a a) (- a 1))) (sqr (- (+ (sqr (* (sqr b) (- (sqr b) (* a a)))) (sqr (* (* a a) (* a a)))) (* (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a))))))) * * * * [misc]progress: [ 742 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (- (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a)))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a)))))) 4)) (* (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))) (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (+ (* 3 a) 1)))) (* (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (- (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a)))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a)))))) 4)) (* (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))) (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (+ (* 3 a) 1)))) (* (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* 3 a) 1))) (sqr (- (+ (sqr (- (* (sqr b) (sqr b)) (* (* a b) (* a b)))) (sqr (* (* a a) (* a a)))) (* (- (* (sqr b) (sqr b)) (* (* a b) (* a b))) (* (* a a) (* a a)))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* 3 a) 1))) (sqr (- (+ (sqr (- (* (sqr b) (sqr b)) (* (* a b) (* a b)))) (sqr (* (* a a) (* a a)))) (* (- (* (sqr b) (sqr b)) (* (* a b) (* a b))) (* (* a a) (* a a)))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * * * * [misc]progress: [ 743 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (+ (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) (* (* 4 (- (cube (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (+ (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) (* (* 4 (- (cube (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (* (sqr b) (- (sqr b) (* a a)))) (* (* (* a a) (* a a)) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a))))) (* (- (sqr (* (sqr b) (- (sqr b) (* a a)))) (* (* (* a a) (* a a)) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a))))) (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (+ (sqr (sqr (* (+ 1 a) (* a a)))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (+ (sqr (* (+ 1 a) (* a a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (- (sqr (* (sqr b) (- (sqr b) (* a a)))) (* (* (* a a) (* a a)) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a))))) (* (- (sqr (* (sqr b) (- (sqr b) (* a a)))) (* (* (* a a) (* a a)) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a))))) (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (+ (sqr (sqr (* (+ 1 a) (* a a)))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (+ (sqr (* (+ 1 a) (* a a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * * * [misc]progress: [ 744 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- (sqr a) (- a 1)))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))))) (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (- (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- (sqr a) (- a 1)))))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))))) (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (- (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) 4))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (sqr (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (sqr (* (sqr b) (- (sqr b) (* a a)))) (* (* (* a a) (* a a)) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a)))))))) * [exit]simplify: Simplified to (* (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (sqr (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (sqr (* (sqr b) (- (sqr b) (* a a)))) (* (* (* a a) (* a a)) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a)))))))) * * * * [misc]progress: [ 745 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (338 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))))))) (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (* (* (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))))))) (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (* (* (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ 1 (- (* a a) a))) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ 1 (- (* a a) a))) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 746 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (353 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) 4)) (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) 4)) (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ (- (* a a) a) 1)) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ (- (* a a) a) 1)) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 747 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (343 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (sqr (- 1 a))))) (* (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) (* (* (* (* (sqr (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (sqr (- 1 a))))) (* (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) (* (* (* (* (sqr (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (* a a) a) 1) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (- 1 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (- (* a a) a) 1) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (- 1 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * * * * [misc]progress: [ 748 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (361 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a)))))) 4)) (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (* (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (+ (* 3 a) 1))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a)))))) 4)) (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))) (* (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (+ (* 3 a) 1))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (sqr (+ (* 3 a) 1))) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) (+ (+ (* a a) (- 1 a)) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (+ (* a a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (sqr (+ (* 3 a) 1))) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) (+ (+ (* a a) (- 1 a)) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (+ (* a a) (- 1 a))))) * * * * [misc]progress: [ 749 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (sqr a) (+ a 1))))) (* (sqr (* (sqr a) (+ a 1))) (sqr (* (sqr a) (+ a 1))))) (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))) (* (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))))) (* (* (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))))) (* (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) 4))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (sqr a) (+ a 1))))) (* (sqr (* (sqr a) (+ a 1))) (sqr (* (sqr a) (+ a 1))))) (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))) (* (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))))) (* (* (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))))) (* (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) 4))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (+ (sqr (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a)))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a)))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (* (* a a) (* a a)) (* (sqr b) (- (sqr b) (* a a))))))) * [exit]simplify: Simplified to (* (+ (sqr (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a)))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a)))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (* (* a a) (* a a)) (* (sqr b) (- (sqr b) (* a a))))))) * * * * [misc]progress: [ 750 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (352 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (- (* (sqr (* (sqr a) (+ a 1))) (sqr (* (sqr a) (+ a 1)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (- (* (sqr (* (sqr a) (+ a 1))) (sqr (* (sqr a) (+ a 1)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) 4))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (* (* a a) (* a a)) (* (sqr b) (- (sqr b) (* a a))))) (+ (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (* (sqr b) (- 1 (* 3 a))) (* (sqr b) (- 1 (* 3 a)))))) (+ (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* 3 a)) (- (* a a) (- a 1)))) * [exit]simplify: Simplified to (* (* (sqr (- (* (* a a) (* a a)) (* (sqr b) (- (sqr b) (* a a))))) (+ (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (* (sqr b) (- 1 (* 3 a))) (* (sqr b) (- 1 (* 3 a)))))) (+ (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* 3 a)) (- (* a a) (- a 1)))) * * * * [misc]progress: [ 751 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (cube (* 3 a)))))) (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (+ (sqr a) (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr (* (- 1 (cube a)) (sqr a))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (+ (sqr a) (- 1 a)) (* b b)) (- 1 (cube (* 3 a)))))) (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (+ (sqr a) (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (* (sqr (* (- 1 (cube a)) (sqr a))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))))) 4))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (- (* a a) a)))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (- (* a a) a)))) * * * * [misc]progress: [ 752 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (sqr (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) 4)) (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (sqr (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) 4)) (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (+ (* (+ (* a a) (- 1 a)) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* 3 a) 1)))) (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* 3 a) 1))) (* (+ (* a a) (- 1 a)) (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * [exit]simplify: Simplified to (+ (* (+ (* a a) (- 1 a)) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* 3 a) 1)))) (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* 3 a) 1))) (* (+ (* a a) (- 1 a)) (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * * * * [misc]progress: [ 753 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (* 4 (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))))) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (- 1 a) (- 1 a))))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (* (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 a) (- 1 a))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (* 4 (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))))) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (- 1 a) (- 1 a))))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1)))) (* (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 a) (- 1 a))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (* (* (- 1 a) (+ (* a a) (- 1 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (* (* (- 1 a) (+ (* a a) (- 1 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 754 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* 3 a) 1))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (* 4 (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) (- (* (sqr (+ (* 3 a) 1)) (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* 3 a) 1))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (cube a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (* 4 (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) (- (* (sqr (+ (* 3 a) 1)) (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (* (* 3 a) (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1))) * * * * [misc]progress: [ 755 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * * [misc]simplify: iters left: 4 (356 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) 4) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ a 1))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) 4) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (sqr a) (+ a 1))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (* a a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (sqr b))))) (sqr (sqr (* (* a a) (+ 1 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * [exit]simplify: Simplified to (* (+ (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (* a a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (sqr b))))) (sqr (sqr (* (* a a) (+ 1 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * * * * [misc]progress: [ 756 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (- (sqr (sqr (* (sqr a) (+ a 1)))) (sqr (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) * [exit]simplify: Simplified to (+ (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (* (- (sqr a) (- a 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (- (sqr (sqr (* (sqr a) (+ a 1)))) (sqr (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (sqr a) (+ a 1)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (* (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (sqr (* (* a a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (sqr (* (* a a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 757 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) 4)) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))))) (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- (sqr a) (- a 1)))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) 4)) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))))) (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- (sqr a) (- a 1)))))) (* (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a))))) (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (305 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ 1 (- (* a a) a))) (sqr (- (+ (sqr (* (sqr b) (* (- b a) (+ a b)))) (sqr (* (* a a) (* a a)))) (* (* (* (* a a) (* a a)) (sqr b)) (* (- b a) (+ a b)))))) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ 1 (- (* a a) a))) (sqr (- (+ (sqr (* (sqr b) (* (- b a) (+ a b)))) (sqr (* (* a a) (* a a)))) (* (* (* (* a a) (* a a)) (sqr b)) (* (- b a) (+ a b)))))) * * * * [misc]progress: [ 758 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (* (- (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* 4 (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))))) (sqr (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (* (* (- (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* 4 (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))))) (sqr (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (* (- 1 (cube a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- (sqr a) (- a 1)) (* b b))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (* (+ (- (* a a) a) 1) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) * [exit]simplify: Simplified to (* (* (+ (- (* a a) a) 1) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) * * * * [misc]progress: [ 759 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) 4) (- (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (sqr (+ (sqr a) (- 1 a)))))) (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1))) (* (* (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (* (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (+ (sqr a) (- 1 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) 4) (- (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (sqr (+ (sqr a) (- 1 a)))))) (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1))) (* (* (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (* (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (+ (sqr a) (- 1 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (- 1 a) (* a a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- (* (* (sqr b) (- (sqr b) (* a a))) (* (sqr b) (- (sqr b) (* a a)))) (* (* (* a a) (* a a)) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a))))) (* (* (+ (* 3 a) 1) (+ (- 1 a) (* a a))) (- (* (* (sqr b) (- (sqr b) (* a a))) (* (sqr b) (- (sqr b) (* a a)))) (* (* (* a a) (* a a)) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (- 1 a) (* a a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- (* (* (sqr b) (- (sqr b) (* a a))) (* (sqr b) (- (sqr b) (* a a)))) (* (* (* a a) (* a a)) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a))))) (* (* (+ (* 3 a) 1) (+ (- 1 a) (* a a))) (- (* (* (sqr b) (- (sqr b) (* a a))) (* (sqr b) (- (sqr b) (* a a)))) (* (* (* a a) (* a a)) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a)))))))) * * * * [misc]progress: [ 760 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (cube a)) (sqr a)))) (* (sqr (- (sqr a) (- a 1))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) 4)) (* (* (sqr (+ (- (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (sqr (* (sqr a) (sqr a))))) (* (sqr (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1))))) (* (- (* (sqr a) (* (+ (* 3 a) 1) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (cube a)) (sqr a)))) (* (sqr (- (sqr a) (- a 1))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) 4)) (* (* (sqr (+ (- (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (sqr (* (sqr a) (sqr a))))) (* (sqr (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1))))) (* (- (* (sqr a) (* (+ (* 3 a) 1) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (310 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (- (* a a) (- a 1)))) (sqr (- (+ (* (* (sqr b) (* (- b a) (+ a b))) (* (sqr b) (* (- b a) (+ a b)))) (sqr (* (* a a) (* a a)))) (* (* (- b a) (+ a b)) (* (* (* a a) (* a a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (- (* a a) (- a 1)))) (sqr (- (+ (* (* (sqr b) (* (- b a) (+ a b))) (* (sqr b) (* (- b a) (+ a b)))) (sqr (* (* a a) (* a a)))) (* (* (- b a) (+ a b)) (* (* (* a a) (* a a)) (sqr b)))))) * * * * [misc]progress: [ 761 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a))))) (* (sqr (- 1 a)) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))))) (* (- (* (* (sqr a) (- 1 (cube a))) (+ (* 3 a) 1)) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (sqr (* 3 a))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (* (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* (- (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (sqr (- 1 a)))) 4))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a))))) (* (sqr (- 1 a)) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))))) (* (- (* (* (sqr a) (- 1 (cube a))) (+ (* 3 a) 1)) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (sqr (* 3 a))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (* (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* (- (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (sqr (- 1 a)))) 4))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (+ (* (* (sqr b) (* (+ a b) (- b a))) (* (sqr b) (* (+ a b) (- b a)))) (sqr (* (* a a) (* a a)))) (* (* (* (* a a) (* a a)) (sqr b)) (* (+ a b) (- b a))))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (sqr (- (+ (* (* (sqr b) (* (+ a b) (- b a))) (* (sqr b) (* (+ a b) (- b a)))) (sqr (* (* a a) (* a a)))) (* (* (* (* a a) (* a a)) (sqr b)) (* (+ a b) (- b a))))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))))) * * * * [misc]progress: [ 762 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1)) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (* 4 (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (sqr (+ (* 3 a) 1))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a)))))))) (* (* (* (sqr (- 1 a)) (sqr (+ (* 3 a) 1))) (* (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (* b b) (+ (sqr a) (- 1 a))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) (sqr (+ (* (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1)) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (* 4 (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (sqr (+ (* 3 a) 1))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a)))))))) (* (* (* (sqr (- 1 a)) (sqr (+ (* 3 a) 1))) (* (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (* b b) (+ (sqr a) (- 1 a))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) (sqr (+ (* (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (* (* (sqr b) (- (sqr b) (* a a))) (* (sqr b) (- (sqr b) (* a a)))) (* (* (* a a) (* a a)) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a)))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (sqr (- (* (* (sqr b) (- (sqr b) (* a a))) (* (sqr b) (- (sqr b) (* a a)))) (* (* (* a a) (* a a)) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a)))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 763 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (- (sqr a) (- a 1)) (+ (* 3 a) 1))) (* 4 (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (- (* (sqr a) (* (+ (* 3 a) 1) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (- (sqr a) (- a 1)) (+ (* 3 a) 1))) (* 4 (- (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (- (* (sqr a) (* (+ (* 3 a) 1) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (- (* (- (sqr (sqr b)) (* (* a a) (sqr b))) (- (sqr (sqr b)) (* (* a a) (sqr b)))) (* (* (* a a) (* a a)) (- (- (sqr (sqr b)) (* (* a a) (sqr b))) (* (* a a) (* a a)))))) (- (* (- (sqr (sqr b)) (* (* a a) (sqr b))) (- (sqr (sqr b)) (* (* a a) (sqr b)))) (* (* (* a a) (* a a)) (- (- (sqr (sqr b)) (* (* a a) (sqr b))) (* (* a a) (* a a)))))) (+ (* (sqr (* (sqr b) (- 1 (* 3 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (sqr (* (+ 1 a) (* a a))))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (- (* (- (sqr (sqr b)) (* (* a a) (sqr b))) (- (sqr (sqr b)) (* (* a a) (sqr b)))) (* (* (* a a) (* a a)) (- (- (sqr (sqr b)) (* (* a a) (sqr b))) (* (* a a) (* a a)))))) (- (* (- (sqr (sqr b)) (* (* a a) (sqr b))) (- (sqr (sqr b)) (* (* a a) (sqr b)))) (* (* (* a a) (* a a)) (- (- (sqr (sqr b)) (* (* a a) (sqr b))) (* (* a a) (* a a)))))) (+ (* (sqr (* (sqr b) (- 1 (* 3 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (sqr (* (+ 1 a) (* a a))))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 764 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (- (* (sqr a) (* (+ (* 3 a) 1) (- 1 (cube a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (sqr (* 3 a))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) (sqr (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (- (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (- (* (sqr a) (* (+ (* 3 a) 1) (- 1 (cube a)))) (* (* (* b b) (- (sqr a) (- a 1))) (- 1 (sqr (* 3 a))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) (sqr (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (- (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) 4))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (sqr b) (- (sqr b) (* a a))) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a)))) (sqr (* (* a a) (* a a)))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* (* (sqr b) (- (sqr b) (* a a))) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a)))) (sqr (* (* a a) (* a a)))))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (sqr (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (* (+ (* (* (sqr b) (- (sqr b) (* a a))) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a)))) (sqr (* (* a a) (* a a)))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* (* (sqr b) (- (sqr b) (* a a))) (- (* (sqr b) (- (sqr b) (* a a))) (* (* a a) (* a a)))) (sqr (* (* a a) (* a a)))))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (sqr (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 765 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (+ (sqr a) (- 1 a)))) (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (- 1 (* (* 3 a) (* 3 a))) (* (* b b) (+ (sqr a) (- 1 a))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))))) (* (* (* (+ (sqr a) (- 1 a)) (+ 1 (* 3 a))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))))))) (- (* (* (sqr (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (sqr (+ (sqr a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (+ (sqr a) (- 1 a)))) (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (- 1 (* (* 3 a) (* 3 a))) (* (* b b) (+ (sqr a) (- 1 a))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))))) (* (* (* (+ (sqr a) (- 1 a)) (+ 1 (* 3 a))) (* 4 (* (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))))))) (- (* (* (sqr (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (sqr (+ (sqr a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (* (+ (- 1 a) (* a a)) (+ 1 (* 3 a)))) (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (+ (- 1 a) (* a a))))) * [exit]simplify: Simplified to (* (* (* (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (* (+ (- 1 a) (* a a)) (+ 1 (* 3 a)))) (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (+ (- 1 a) (* a a))))) * * * * [misc]progress: [ 766 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (sqr (- (sqr a) (- a 1))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))))) (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))))) (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))) (* (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (sqr (- (sqr a) (- a 1))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))))) (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))))) (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))) (* (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a)))) (* (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a)))) (* (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) * * * * [misc]progress: [ 767 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1)) (- (* (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) 4)) (* (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (sqr (- 1 a))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (sqr (* 3 a))))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1)) (- (* (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) 4)) (* (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (sqr (- 1 a))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (sqr (* 3 a))))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (* (+ (* 3 a) 1) (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (- 1 a)))) (+ (* a a) (- 1 a))) * [exit]simplify: Simplified to (* (* (* (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (* (+ (* 3 a) 1) (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (- 1 a)))) (+ (* a a) (- 1 a))) * * * * [misc]progress: [ 768 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (sqr (- 1 a)))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (- (* (* (- 1 (cube a)) (+ (* 3 a) 1)) (sqr a)) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (sqr (* 3 a))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) (* (* (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1)) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* 4 (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (sqr (+ (* 3 a) 1))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (sqr (- 1 a)))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (- (* (* (- 1 (cube a)) (+ (* 3 a) 1)) (sqr a)) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (sqr (* 3 a))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))))) (* (* (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1)) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* 4 (- (* (sqr (* (- 1 (sqr a)) (sqr a))) (sqr (+ (* 3 a) 1))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (287 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) * * * * [misc]progress: [ 769 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))))) (* (* (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (- (cube (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) 4))) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))))) (* (* (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (* (- (sqr a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (- (cube (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) 4))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (* a a) (* b b))) (+ (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (* a a) (* b b)))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (+ (sqr (sqr (* (+ 1 a) (* a a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (* a a) (* b b))) (+ (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (* a a) (* b b)))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (+ (sqr (sqr (* (+ 1 a) (* a a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 770 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (- (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) 4))) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (- (* (sqr a) (* (+ (* 3 a) 1) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (- (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) 4))) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (- (* (sqr a) (* (+ (* 3 a) 1) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (- (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 771 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (- (sqr a) (- a 1)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (- (sqr a) (- a 1)) (+ 1 (* 3 a))) (* (- (* (sqr (* (sqr a) (- 1 (cube a)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (sqr (- (sqr a) (- a 1))) (sqr (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr a) (* (+ 1 (* 3 a)) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (- (sqr a) (- a 1)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (- (sqr a) (- a 1)) (+ 1 (* 3 a))) (* (- (* (sqr (* (sqr a) (- 1 (cube a)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (sqr (- (sqr a) (- a 1))) (sqr (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (+ (+ (* 3 a) 1) (sqr (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (+ (+ (* 3 a) 1) (sqr (* 3 a))))) * * * * [misc]progress: [ 772 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (sqr (- (sqr a) (- a 1))))) (* (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* 4 (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b))))) (- (* (sqr a) (* (- 1 (cube a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))))) * [exit]simplify: Simplified to (+ (* (- (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (sqr (- (sqr a) (- a 1))))) (* (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* 4 (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b))))) (- (* (sqr a) (* (- 1 (cube a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (cube (+ (* a a) (- 1 a))) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (cube (+ (* a a) (- 1 a))) (+ (* 3 a) 1))) * * * * [misc]progress: [ 773 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1))) (* (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (+ (* 3 a) 1) (* (sqr a) (- 1 (cube a)))) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (sqr (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1))) (* (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (* (+ (* 3 a) 1) (* (sqr a) (- 1 (cube a)))) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (sqr (* 3 a))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (463 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (sqr (+ (sqr (* 3 a)) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (sqr (+ (sqr (* 3 a)) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 774 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- 1 a)) (sqr (+ (* 3 a) 1))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (sqr (* 3 a)))))) (* (* (* (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) 4) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (* 3 a) 1))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- 1 a)) (sqr (+ (* 3 a) 1))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (* (* b b) (+ (sqr a) (- 1 a))) (- 1 (sqr (* 3 a)))))) (* (* (* (* (+ (sqr a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) 4) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (* 3 a) 1))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (347 enodes) * [exit]simplify: Simplified to (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (sqr (- 1 a))))) * [exit]simplify: Simplified to (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (sqr (- 1 a))))) * * * * [misc]progress: [ 775 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) (* (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))))) (* (- (* (* (sqr a) (+ (* 3 a) 1)) (- 1 (cube a))) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) (* (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))))) (* (- (* (* (sqr a) (+ (* 3 a) 1)) (- 1 (cube a))) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (+ (sqr (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a)))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a)))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (+ (sqr (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a)))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a)))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) * * * * [misc]progress: [ 776 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (sqr (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (* b b) (- 1 (* 3 a)))))) 4)) (* (* (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b))))) (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (sqr (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (* b b) (- 1 (* 3 a)))))) 4)) (* (* (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b))))) (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* (* (sqr b) (- 1 (* 3 a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))))) * [exit]simplify: Simplified to (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* (* (sqr b) (- 1 (* 3 a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))))) * * * * [misc]progress: [ 777 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (* 4 (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))))) (* (- (sqr a) (- a 1)) (+ (* 3 a) 1))) (* (sqr (+ (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (* (- (* (sqr a) (* (+ (* 3 a) 1) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (* 4 (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))))) (* (- (sqr a) (- a 1)) (+ (* 3 a) 1))) (* (sqr (+ (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (* (- (* (sqr a) (* (+ (* 3 a) 1) (- 1 (cube a)))) (* (- 1 (sqr (* 3 a))) (* (- (sqr a) (- a 1)) (* b b)))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (466 enodes) * [exit]simplify: Simplified to (* (sqr (- (+ (* (* (* (sqr b) (- b a)) (+ a b)) (* (* (sqr b) (- b a)) (+ a b))) (sqr (* (* a a) (* a a)))) (* (* (* (* a a) (* a a)) (sqr b)) (* (+ a b) (- b a))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (sqr (- (+ (* (* (* (sqr b) (- b a)) (+ a b)) (* (* (sqr b) (- b a)) (+ a b))) (sqr (* (* a a) (* a a)))) (* (* (* (* a a) (* a a)) (sqr b)) (* (+ a b) (- b a))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) * * * * [misc]progress: [ 778 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (pow 1 3) (pow a 3))) (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1)))))) (* (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (sqr (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* 4 (+ (* (* b b) (- 1 (* 3 a))) (* (sqr a) (+ a 1)))) (- (* (sqr a) (+ a 1)) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (- (* (* (+ (* 3 a) 1) (- 1 (cube a))) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (* b b) (- (sqr a) (- a 1)))))) (* (* (* (- (sqr a) (- a 1)) (+ (* 3 a) 1)) (sqr (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* 4 (+ (* (* b b) (- 1 (* 3 a))) (* (sqr a) (+ a 1)))) (- (* (sqr a) (+ a 1)) (* (* b b) (- 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (* b b) (* a a)) (* a a)) (sqr (* b b))) (- (* (+ (* b b) (* a a)) (* a a)) (sqr (* b b)))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (- (* (+ (* b b) (* a a)) (* a a)) (sqr (* b b))) (- (* (+ (* b b) (* a a)) (* a a)) (sqr (* b b)))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) * * * * [misc]progress: [ 779 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* (sqr (* (sqr a) (- 1 (cube a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a)))))) 4)) (* (* (sqr (+ (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* (sqr (* (sqr a) (- 1 (cube a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a)))))) 4)) (* (* (sqr (+ (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))))) (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (+ (- (sqr (* (sqr b) (* (+ a b) (- b a)))) (* (sqr (* a a)) (* (sqr b) (* (+ a b) (- b a))))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (- (sqr (* (sqr b) (* (+ a b) (- b a)))) (* (sqr (* a a)) (* (sqr b) (* (+ a b) (- b a))))) (* (sqr (* a a)) (sqr (* a a)))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (* (* 3 a) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (+ (- (sqr (* (sqr b) (* (+ a b) (- b a)))) (* (sqr (* a a)) (* (sqr b) (* (+ a b) (- b a))))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (- (sqr (* (sqr b) (* (+ a b) (- b a)))) (* (sqr (* a a)) (* (sqr b) (* (+ a b) (- b a))))) (* (sqr (* a a)) (sqr (* a a)))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (* (* 3 a) (* 3 a))))))) * * * * [misc]progress: [ 780 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (333 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))) (sqr (* (sqr a) (sqr a))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (* (* (- 1 a) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))) (sqr (* (sqr a) (sqr a))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (* (* (- 1 a) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (+ (- (sqr (* (sqr b) (* (+ a b) (- b a)))) (* (sqr (* a a)) (* (sqr b) (* (+ a b) (- b a))))) (* (sqr (* a a)) (sqr (* a a))))) (+ (- (sqr (* (sqr b) (* (+ a b) (- b a)))) (* (sqr (* a a)) (* (sqr b) (* (+ a b) (- b a))))) (* (sqr (* a a)) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (+ (- (sqr (* (sqr b) (* (+ a b) (- b a)))) (* (sqr (* a a)) (* (sqr b) (* (+ a b) (- b a))))) (* (sqr (* a a)) (sqr (* a a))))) (+ (- (sqr (* (sqr b) (* (+ a b) (- b a)))) (* (sqr (* a a)) (* (sqr b) (* (+ a b) (- b a))))) (* (sqr (* a a)) (sqr (* a a)))))) * * * * [misc]progress: [ 781 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)))) (* (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a)))))) 4)) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)))) (* (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (sqr a) (- 1 (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a)))))) 4)) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))) (sqr (* (sqr a) (sqr a))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (- (+ (sqr (* (sqr b) (* (- b a) (+ a b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (sqr (* a a)) (* (sqr b) (* (- b a) (+ a b))))))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (* (* 3 a) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (- (+ (sqr (* (sqr b) (* (- b a) (+ a b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (sqr (* a a)) (* (sqr b) (* (- b a) (+ a b))))))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (* (* 3 a) (* 3 a))))) * * * * [misc]progress: [ 782 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))) (* (* (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (* (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))) (* (* (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (* (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a))))) (* (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (* (* (+ (- (sqr (* (sqr b) (* (- b a) (+ a b)))) (* (sqr (* a a)) (* (sqr b) (* (- b a) (+ a b))))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (- (sqr (* (sqr b) (* (- b a) (+ a b)))) (* (sqr (* a a)) (* (sqr b) (* (- b a) (+ a b))))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (- 1 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (+ (- (sqr (* (sqr b) (* (- b a) (+ a b)))) (* (sqr (* a a)) (* (sqr b) (* (- b a) (+ a b))))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (- (sqr (* (sqr b) (* (- b a) (+ a b)))) (* (sqr (* a a)) (* (sqr b) (* (- b a) (+ a b))))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (- 1 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 783 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (343 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a))) (* 4 (- (cube (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (+ (* (sqr a) (- 1 (sqr a))) (- (* (+ (* 3 a) (sqr (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a))))) (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a))) (* 4 (- (cube (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (+ (* (sqr a) (- 1 (sqr a))) (- (* (+ (* 3 a) (sqr (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a))))) (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a)))))) (sqr (+ (- (sqr (* (sqr b) (* (+ b a) (- b a)))) (* (sqr (* a a)) (* (sqr b) (* (+ b a) (- b a))))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a)))) (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a)))))) (sqr (+ (- (sqr (* (sqr b) (* (+ b a) (- b a)))) (* (sqr (* a a)) (* (sqr b) (* (+ b a) (- b a))))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) * * * * [misc]progress: [ 784 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (* (* (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (- (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))))) (sqr (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (sqr (* (sqr a) (sqr a)))))) (* (* (* (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (- (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) 4))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (431 enodes) * [exit]simplify: Simplified to (* (* (+ (- (sqr (* (sqr b) (* (- b a) (+ a b)))) (* (sqr (* a a)) (* (sqr b) (* (- b a) (+ a b))))) (* (sqr (* a a)) (sqr (* a a)))) (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a)))) (* (+ (- (sqr (* (sqr b) (* (- b a) (+ a b)))) (* (sqr (* a a)) (* (sqr b) (* (- b a) (+ a b))))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (+ (- (sqr (* (sqr b) (* (- b a) (+ a b)))) (* (sqr (* a a)) (* (sqr b) (* (- b a) (+ a b))))) (* (sqr (* a a)) (sqr (* a a)))) (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a)))) (* (+ (- (sqr (* (sqr b) (* (- b a) (+ a b)))) (* (sqr (* a a)) (* (sqr b) (* (- b a) (+ a b))))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 785 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* (+ (sqr a) (* b b)) (- (sqr a) (* b b))) (* (* b b) (sqr a))))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (* (* 4 (* (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (sqr (- (sqr a) (- a 1))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* (+ (sqr a) (* b b)) (- (sqr a) (* b b))) (* (* b b) (sqr a))))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (* (* 4 (* (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (sqr (- (sqr a) (- a 1))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (* (* 3 a) (* 3 a)))) (sqr (- (sqr (* a a)) (* (sqr b) (- (sqr b) (* a a)))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (sqr (+ (* a a) (- 1 a)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) * [exit]simplify: Simplified to (* (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (* (* 3 a) (* 3 a)))) (sqr (- (sqr (* a a)) (* (sqr b) (- (sqr b) (* a a)))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (sqr (+ (* a a) (- 1 a)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) * * * * [misc]progress: [ 786 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (340 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a)) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))))) (* (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4)) (* (* (* (* (sqr (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a)) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))))) (* (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4)) (* (* (* (* (sqr (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) (* (- 1 a) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) (* (- 1 a) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))))) * * * * [misc]progress: [ 787 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (sqr (* (sqr a) (- 1 (sqr a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))) (* (+ (* (sqr a) (- 1 (sqr a))) (- (* (+ (* 3 a) (sqr (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b))))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (sqr (* (sqr a) (- 1 (sqr a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))) (* (+ (* (sqr a) (- 1 (sqr a))) (- (* (+ (* 3 a) (sqr (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b))))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (* (* 3 a) (* 3 a)))) (sqr (- (sqr (* a a)) (* (sqr b) (- (sqr b) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (* (* 3 a) (* 3 a)))) (sqr (- (sqr (* a a)) (* (sqr b) (- (sqr b) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 788 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a)))))) (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b))))) (* (* 4 (- (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))) (* (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a))) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a)))))) (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b))))) (* (* 4 (- (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))) (* (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a))) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b)))) (* (* (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (- 1 a))) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b)))) (* (* (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (- 1 a))) * * * * [misc]progress: [ 789 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (338 enodes) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))))) (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) 4))) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))))) (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))) (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) 4))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (* (+ (sqr (sqr (* (* a a) (+ 1 a)))) (* (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (sqr (* (* a a) (+ 1 a)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a))) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b)))))) * [exit]simplify: Simplified to (* (+ (sqr (sqr (* (* a a) (+ 1 a)))) (* (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (sqr (* (* a a) (+ 1 a)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a))) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b)))))) * * * * [misc]progress: [ 790 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (307 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) 4) (* (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a))))))) (- (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (- 1 a)) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (+ (- (* (+ (* 3 a) (sqr (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))) (* (sqr a) (- 1 (sqr a)))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) 4) (* (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (- (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a))))))) (- (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (- 1 a)) (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (+ (- (* (+ (* 3 a) (sqr (* 3 a))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))) (* (sqr a) (- 1 (sqr a)))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (* a a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a)))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (* a a) (+ 1 a))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (sqr (- (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a)))) * * * * [misc]progress: [ 791 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))) (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (sqr (- (sqr a) (- a 1))))) (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (- 1 a)) (* (* (sqr (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) 4) (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a))))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (sqr (- (sqr a) (- a 1)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))) (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (sqr (- (sqr a) (- a 1))))) (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (- 1 a)) (* (* (sqr (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) 4) (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a))))) (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (sqr (- (sqr a) (- a 1)))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (466 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (- 1 a) (* (* (* 3 a) (- 1 a)) (+ 1 (* 3 a)))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (- 1 a) (* (* (* 3 a) (- 1 a)) (+ 1 (* 3 a)))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 792 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (* 4 (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))))) (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (sqr (+ (* 3 a) 1))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a))) (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (* 4 (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))))) (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (sqr (+ (* 3 a) 1))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a))) (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b))))) (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (* (* (- 1 a) (* b b)) (- 1 (cube (* 3 a))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (* 3 a))) (sqr (- (* a a) (- a 1)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- 1 a))) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (* 3 a))) (sqr (- (* a a) (- a 1)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- 1 a))) * * * * [misc]progress: [ 793 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))) (* (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (* 4 (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))))) (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))) (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))) (* (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (* 4 (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))))) (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))) (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (- 1 a) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (* (* (sqr (- 1 a)) (+ (- 1 a) (* (* (- 1 a) (* 3 a)) (+ 1 (* 3 a))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) * [exit]simplify: Simplified to (* (* (sqr (- 1 a)) (+ (- 1 a) (* (* (- 1 a) (* 3 a)) (+ 1 (* 3 a))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) * * * * [misc]progress: [ 794 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* 3 a) 1))) (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b))))) (- (+ (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a))))) (* (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a)) (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* 4 (- (* (* (sqr (+ (* 3 a) 1)) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* 3 a) 1))) (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b))))) (- (+ (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a))))) (* (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a)) (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* 4 (- (* (* (sqr (+ (* 3 a) 1)) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- 1 a)) (* (* (+ 1 (* 3 a)) (sqr (- 1 a))) (+ 1 (* 3 a)))) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- 1 a)) (* (* (+ 1 (* 3 a)) (sqr (- 1 a))) (+ 1 (* 3 a)))) * * * * [misc]progress: [ 795 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* (- 1 a) (+ (* 3 a) (+ (sqr (* 3 a)) 1))))) (* (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (* (- 1 a) (+ (* 3 a) (+ (sqr (* 3 a)) 1))))) (* (+ (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (* (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a))) (+ (sqr (sqr (* (* a a) (+ 1 a)))) (* (* (* (sqr b) (- 1 (* 3 a))) (* (sqr b) (- 1 (* 3 a)))) (+ (sqr (* (* a a) (+ 1 a))) (* (* (sqr b) (- 1 (* 3 a))) (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (* (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a))) (+ (sqr (sqr (* (* a a) (+ 1 a)))) (* (* (* (sqr b) (- 1 (* 3 a))) (* (sqr b) (- 1 (* 3 a)))) (+ (sqr (* (* a a) (+ 1 a))) (* (* (sqr b) (- 1 (* 3 a))) (* (sqr b) (- 1 (* 3 a)))))))) * * * * [misc]progress: [ 796 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (sqr (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))))) (* (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) 4)) (* (* (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (sqr (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))))) (* (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) 4)) (* (* (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (- (+ (* (sqr a) (- 1 (sqr a))) (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b)))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (* (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (sqr (* (* a a) (+ 1 a)))) (* (- 1 a) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))))) * [exit]simplify: Simplified to (* (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (sqr (* (* a a) (+ 1 a)))) (* (- 1 a) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))))) * * * * [misc]progress: [ 797 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* 4 (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (- (cube (sqr a)) (cube (* b b))) (- (cube (sqr a)) (cube (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* 4 (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (- 1 a)))) (* (- (cube (sqr a)) (cube (* b b))) (- (cube (sqr a)) (cube (* b b))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (* (sqr (+ (- (sqr (* (sqr b) (* (- b a) (+ a b)))) (* (sqr (* a a)) (* (sqr b) (* (- b a) (+ a b))))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))))) * [exit]simplify: Simplified to (* (sqr (+ (- (sqr (* (sqr b) (* (- b a) (+ a b)))) (* (sqr (* a a)) (* (sqr b) (* (- b a) (+ a b))))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))))) * * * * [misc]progress: [ 798 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b))))) (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (sqr (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b))))) (* (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (sqr a) (+ a 1))) (* (- (* (sqr a) (+ a 1)) (* (* b b) (- 1 (* 3 a)))) 4)))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b))))) (- (+ (* (sqr a) (- 1 (sqr a))) (* (+ (* 3 a) (sqr (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b))))) (* (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (sqr a) (+ a 1))) (* (- (* (sqr a) (+ a 1)) (* (* b b) (- 1 (* 3 a)))) 4)))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- 1 a)) (sqr (- (sqr (* a a)) (* (sqr b) (- (sqr b) (* a a)))))) * [exit]simplify: Simplified to (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- 1 a)) (sqr (- (sqr (* a a)) (* (sqr b) (- (sqr b) (* a a)))))) * * * * [misc]progress: [ 799 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) 1)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))))) (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (- (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (sqr a) (- 1 (cube a))))) (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (sqr (- (sqr a) (- a 1))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) 1)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))))) (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (- (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (sqr a) (- 1 (cube a))))) (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (sqr (- (sqr a) (- a 1))))) 4))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (* (* (- 1 a) (+ 1 (* 3 a))) (* (* (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (* a a) (* a a))))) (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (* a a) (* a a)))))) * [exit]simplify: Simplified to (* (* (- 1 a) (+ 1 (* 3 a))) (* (* (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (* a a) (* a a))))) (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (* a a) (* a a)))))) * * * * [misc]progress: [ 800 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4)) (* (* (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a)))))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4)) (* (* (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (+ (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a)))))))) (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (- (+ (sqr (- (sqr (* b b)) (* (* b a) (* b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (- (sqr (* b b)) (* (* b a) (* b a))) (* (* a a) (* a a)))))) (* (- 1 a) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (- (+ (sqr (- (sqr (* b b)) (* (* b a) (* b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (- (sqr (* b b)) (* (* b a) (* b a))) (* (* a a) (* a a)))))) (* (- 1 a) (+ (* 3 a) 1))) * * * * [misc]progress: [ 801 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (- (* (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (sqr (- 1 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))))) 4) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (sqr (- 1 a)))) (* (* (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (* 3 a))) (* (- 1 (* (* 3 a) (* 3 a))) (* (* b b) (- 1 a)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (- (* (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (sqr (- 1 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))))) 4) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (sqr (- 1 a)))) (* (* (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (* (sqr a) (- 1 (sqr a))) (+ 1 (* 3 a))) (* (- 1 (* (* 3 a) (* 3 a))) (* (* b b) (- 1 a)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (+ (sqr (* (* b b) (* (- b a) (+ b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (* (- b a) (+ b a))) (* (* a a) (* a a))))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (* (sqr (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) * [exit]simplify: Simplified to (* (* (sqr (- (+ (sqr (* (* b b) (* (- b a) (+ b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (* (- b a) (+ b a))) (* (* a a) (* a a))))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (* (sqr (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) * * * * [misc]progress: [ 802 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (sqr (+ (* 3 a) 1)) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (- 1 a) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (- 1 a) (+ (* 3 a) 1))))) (* (* (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))) (* (* (* (+ (* 3 a) 1) (* (- 1 a) (- 1 a))) (+ (* 3 a) 1)) (sqr (+ (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (sqr (+ (* 3 a) 1)) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (- 1 a) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (- 1 a) (+ (* 3 a) 1))))) (* (* (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))) (* (* (* (+ (* 3 a) 1) (* (- 1 a) (- 1 a))) (+ (* 3 a) 1)) (sqr (+ (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * [exit]simplify: Simplified to (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (* a a) (* a a))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- 1 a))))) * [exit]simplify: Simplified to (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (* a a) (* a a))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- 1 a))))) * * * * [misc]progress: [ 803 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (sqr a)) (cube (* b b))) (- (cube (sqr a)) (cube (* b b)))) (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a)))))) (+ (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))))) (sqr (+ (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (- (sqr (cube (* (+ a 1) (sqr a)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) 4) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* 3 a) 1) (- 1 a))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (sqr a)) (cube (* b b))) (- (cube (sqr a)) (cube (* b b)))) (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a)))))) (+ (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))))) (sqr (+ (* (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (- (sqr (cube (* (+ a 1) (sqr a)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) 4) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (+ (* 3 a) 1) (- 1 a))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (- (+ (sqr (* (* b b) (* (- b a) (+ b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (* (- b a) (+ b a))) (* (* a a) (* a a))))) (+ (* (sqr (* (* a a) (+ 1 a))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (* a a) (+ 1 a))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (- (+ (sqr (* (* b b) (* (- b a) (+ b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (* (- b a) (+ b a))) (* (* a a) (* a a))))) (+ (* (sqr (* (* a a) (+ 1 a))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (* a a) (+ 1 a))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) * * * * [misc]progress: [ 804 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* 3 a) 1) (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (* (- (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) 4)) (- 1 a)) (* (* (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) 1)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))))) (sqr (+ (* (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* 3 a) 1) (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (* (- (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) 4)) (- 1 a)) (* (* (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (- (* (* (sqr a) (- 1 (sqr a))) (+ (* 3 a) 1)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))))) (sqr (+ (* (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (+ (sqr (* (* a a) (+ 1 a))) (sqr (* (* b b) (- 1 (* 3 a)))))) (sqr (- (+ (sqr (* (* b b) (* (- b a) (+ b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (* (- b a) (+ b a))) (* (* a a) (* a a)))))) * [exit]simplify: Simplified to (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (+ (sqr (* (* a a) (+ 1 a))) (sqr (* (* b b) (- 1 (* 3 a)))))) (sqr (- (+ (sqr (* (* b b) (* (- b a) (+ b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (* (- b a) (+ b a))) (* (* a a) (* a a)))))) * * * * [misc]progress: [ 805 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1))))) (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))))) (* (* (* (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (- (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a))))))) 4)) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1))))) (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))))) (* (* (* (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (- (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a))))))) 4)) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (305 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (sqr (- (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) * * * * [misc]progress: [ 806 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a)))))) (* (* (* (sqr (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* 4 (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a)))))) (* (* (* (sqr (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* 4 (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (314 enodes) * [exit]simplify: Simplified to (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (- (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) * [exit]simplify: Simplified to (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (- (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) * * * * [misc]progress: [ 807 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (- 1 (sqr a)) (* (sqr a) (+ (* 3 a) 1))) (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 a) (* b b)))) (sqr (+ (* (- (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (* b b) (sqr a))))) (* (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a)))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) 4) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (- 1 (sqr a)) (* (sqr a) (+ (* 3 a) 1))) (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 a) (* b b)))) (sqr (+ (* (- (sqr a) (* b b)) (+ (sqr a) (* b b))) (* (* b b) (sqr a))))) (* (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a)))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) 4) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (- (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (- (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 808 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (* 3 a) 1))) (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (sqr (- 1 a)))) (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) 4) (sqr (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))))) (* (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (- (* (sqr a) (* (- 1 (sqr a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))) (* (* (sqr (+ (* 3 a) 1)) (sqr (- 1 a))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (* 3 a) 1))) (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (sqr (- 1 a)))) (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) 4) (sqr (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))))) (* (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (- (* (sqr a) (* (- 1 (sqr a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))) (* (* (sqr (+ (* 3 a) 1)) (sqr (- 1 a))) (sqr (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (+ (* 3 a) 1))) (sqr (- (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (* (- 1 a) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (+ (* 3 a) 1))) (sqr (- (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (* (- 1 a) (+ (* 3 a) 1))) * * * * [misc]progress: [ 809 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (* (- (sqr (cube (* (sqr a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) 4))) (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (* (sqr a) (* (- 1 (sqr a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))))) (* (- (sqr (cube (* (sqr a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) 4))) (* (+ (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (* (sqr a) (* (- 1 (sqr a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))) (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (- (* a a) (* b b)) (+ (* a a) (* b b))) (* (* a a) (* b b)))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (- (* a a) (* b b)) (+ (* a a) (* b b))) (* (* a a) (* b b)))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 810 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (sqr a) (* (- 1 (sqr a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* 4 (- (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (sqr a) (* (- 1 (sqr a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* 4 (- (sqr (* (* (sqr a) (+ a 1)) (* (sqr a) (+ a 1)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (sqr (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (* a a) (* a a)) (* (- (* b b) (* a a)) (* b b)))))) * [exit]simplify: Simplified to (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (sqr (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (* a a) (* a a)) (* (- (* b b) (* a a)) (* b b)))))) * * * * [misc]progress: [ 811 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (* 4 (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))))) (- (* (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (* (- 1 (sqr a)) (* (sqr a) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (* 4 (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))))) (- (* (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (* (- 1 (sqr a)) (* (sqr a) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- 1 a) (* a a)) (+ (- 1 a) (* a a))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (- 1 a) (* a a)) (+ (- 1 a) (* a a))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) * * * * [misc]progress: [ 812 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* 3 a) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))) (* (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* 4 (- (* (sqr (+ (* 3 a) 1)) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* 3 a) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))) (* (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (* (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* 4 (- (* (sqr (+ (* 3 a) 1)) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * [exit]simplify: Simplified to (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (sqr (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (sqr (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 813 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))) (* (sqr (- 1 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) 4) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (- 1 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (* (+ 1 (* 3 a)) (* (sqr a) (- 1 (sqr a)))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))) (* (sqr (- 1 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) 4) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (- 1 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (- 1 a)))) * * * * [misc]progress: [ 814 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (+ (* (- (* (sqr (+ (* 3 a) 1)) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (sqr (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))))) (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (+ (- (* (* b b) (* b b)) (* (* a b) (* a b))) (* (sqr a) (sqr a)))) (* (+ (- (* (* b b) (* b b)) (* (* a b) (* a b))) (* (sqr a) (sqr a))) 4))) (* (- (* (* (+ (* 3 a) 1) (sqr a)) (- 1 (sqr a))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (+ (* 3 a) 1))) (* (- (cube (sqr a)) (cube (* b b))) (- (cube (sqr a)) (cube (* b b))))))) * [exit]simplify: Simplified to (+ (* (- (* (sqr (+ (* 3 a) 1)) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (sqr (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))))) (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (+ (- (* (* b b) (* b b)) (* (* a b) (* a b))) (* (sqr a) (sqr a)))) (* (+ (- (* (* b b) (* b b)) (* (* a b) (* a b))) (* (sqr a) (sqr a))) 4))) (* (- (* (* (+ (* 3 a) 1) (sqr a)) (- 1 (sqr a))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (* (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (+ (* 3 a) 1))) (* (- (cube (sqr a)) (cube (* b b))) (- (cube (sqr a)) (cube (* b b))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (378 enodes) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 a) (* (+ (* 3 a) 1) (sqr (- 1 a))))) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 a) (* (+ (* 3 a) 1) (sqr (- 1 a))))) * * * * [misc]progress: [ 815 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))))) (* (- (cube (sqr (* (+ a 1) (sqr a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (* (* b b) (- 1 a)) (- 1 (sqr (* 3 a)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))))) (* (- (cube (sqr (* (+ a 1) (sqr a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (* (* b b) (- 1 a)) (- 1 (sqr (* 3 a)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))))) (* (* (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))))) (* (* (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) * * * * [misc]progress: [ 816 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (* b b) (- 1 (* 3 a))))))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (* (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (* b b) (- 1 (* 3 a))))))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (* (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (* (- 1 a) (* b b)) (- 1 (sqr (* 3 a))))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (sqr a))))) (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))))) * [exit]simplify: Simplified to (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))))) * * * * [misc]progress: [ 817 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (sqr a) (* (- 1 (sqr a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (* (- 1 a) (+ (* 3 a) 1)) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (- (* (sqr a) (+ a 1)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (sqr a) (+ a 1))) 4)))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (* (sqr a) (* (- 1 (sqr a)) (+ (* 3 a) 1))) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (* (- 1 a) (+ (* 3 a) 1)) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (- (* (sqr a) (+ a 1)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (sqr a) (+ a 1))) 4)))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (461 enodes) * [exit]simplify: Simplified to (* (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (* a a) (* a a))))) (* (- 1 a) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (sqr (- (+ (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* a a) (* a a)) (* (* a a) (* a a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (* a a) (* a a))))) (* (- 1 a) (+ (* 3 a) 1))) * * * * [misc]progress: [ 818 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (* (sqr a) (- (sqr 1) (sqr a))) (+ 1 (* 3 a))) (* (- 1 a) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* 3 a) 1) (* (- 1 a) 4)) (sqr (* (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))))) (- (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (* (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* 3 a) 1) (* (- 1 a) 4)) (sqr (* (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))))) (- (sqr (* (sqr a) (+ a 1))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (* (- (* (* (- 1 (sqr a)) (+ (* 3 a) 1)) (sqr a)) (* (- 1 (sqr (* 3 a))) (* (- 1 a) (* b b)))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (* (- 1 a) (+ 1 (* 3 a))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (413 enodes) * [exit]simplify: Simplified to (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (sqr (- (* (+ (* a a) (* b b)) (* a a)) (* (* b b) (* b b))))) * [exit]simplify: Simplified to (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (sqr (- (* (+ (* a a) (* b b)) (* a a)) (* (* b b) (* b b))))) * * * * [misc]progress: [ 819 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (sqr (+ (sqr a) (- 1 a))) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a)))))) 4) (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))))) (* (* (* (* (sqr (+ (sqr a) (- 1 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (sqr (+ (sqr a) (- 1 a))) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a)))))) 4) (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))))) (* (* (* (* (sqr (+ (sqr a) (- 1 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a)))))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (sqr b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (sqr (- (+ (sqr (* (sqr a) (sqr a))) (sqr (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))) (* (* (sqr a) (sqr a)) (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (sqr b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (sqr (- (+ (sqr (* (sqr a) (sqr a))) (sqr (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))) (* (* (sqr a) (sqr a)) (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 820 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))))) (* (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))))) (* (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (sqr a) (- a 1))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (416 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* a 3) 1))) (sqr (- (+ (sqr (* (sqr a) (sqr a))) (sqr (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))) (* (* (sqr a) (sqr a)) (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b)))))))) * [exit]simplify: Simplified to (* (+ (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* a 3) 1))) (sqr (- (+ (sqr (* (sqr a) (sqr a))) (sqr (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))) (* (* (sqr a) (sqr a)) (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b)))))))) * * * * [misc]progress: [ 821 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- 1 a)))) (* (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) 4))) (- (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- 1 a)))) (* (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) 4))) (- (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (441 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (sqr b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (sqr (- (+ (sqr (* (sqr a) (sqr a))) (sqr (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))) (* (* (sqr a) (sqr a)) (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (sqr b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (sqr (- (+ (sqr (* (sqr a) (sqr a))) (sqr (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))) (* (* (sqr a) (sqr a)) (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 822 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (sqr a)) (sqr a)))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (* (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (sqr a)) (sqr a)))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (* (* (- (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (+ (* 3 a) 1))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* a 3) 1))) (- (+ (sqr (* (sqr a) (sqr a))) (sqr (* (sqr b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr b) (* (+ b a) (- b a)))))) (- (+ (sqr (* (sqr a) (sqr a))) (sqr (* (sqr b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr b) (* (+ b a) (- b a)))))) (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* a 3) 1))) (- (+ (sqr (* (sqr a) (sqr a))) (sqr (* (sqr b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr b) (* (+ b a) (- b a)))))) (- (+ (sqr (* (sqr a) (sqr a))) (sqr (* (sqr b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (sqr b) (* (+ b a) (- b a)))))) (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * * * * [misc]progress: [ 823 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) 4) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (+ a 1) (sqr a))))) (* (* (* (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) 4) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (+ a 1) (sqr a))))) (* (* (* (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (sqr (* (sqr b) (- 1 (* a 3)))))) (sqr (- (+ (sqr (* (sqr a) (sqr a))) (sqr (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))) (* (* (sqr a) (sqr a)) (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))))) (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * [exit]simplify: Simplified to (* (* (+ (* (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (sqr (* (sqr b) (- 1 (* a 3)))))) (sqr (- (+ (sqr (* (sqr a) (sqr a))) (sqr (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))) (* (* (sqr a) (sqr a)) (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))))) (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * * * * [misc]progress: [ 824 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (+ (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (- (sqr (* (sqr b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (sqr b) (* (+ b a) (- b a)))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (+ (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (- (sqr (* (sqr b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (sqr b) (* (+ b a) (- b a)))))))) * * * * [misc]progress: [ 825 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) 4))) (* (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))))) (* (* (sqr (- (sqr a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (+ (* (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) 4))) (* (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))))) (* (* (sqr (- (sqr a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (sqr b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (sqr (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (sqr b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (sqr (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 826 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))) (* (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))))) (* (- (* (sqr (* (- 1 (cube a)) (sqr a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4)) (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (* (sqr (- (sqr a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))) (* (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))))) (* (- (* (sqr (* (- 1 (cube a)) (sqr a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4)) (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (* (sqr (- (sqr a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (366 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (* a 3) 1))) (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b)))) (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b)))) (+ (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ (* a 3) 1))) (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b)))) (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b)))) (+ (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * * * * [misc]progress: [ 827 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))) (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))) 4) (- (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))) (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))) 4) (- (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (- 1 a) (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b)))) (* (- 1 a) (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b)))))) (+ (* (* (sqr b) (- 1 (* 3 a))) (+ (* (sqr b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * [exit]simplify: Simplified to (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (- 1 a) (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b)))) (* (- 1 a) (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b)))))) (+ (* (* (sqr b) (- 1 (* 3 a))) (+ (* (sqr b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * * * * [misc]progress: [ 828 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a))))) (* (- (* (* (sqr (+ (* 3 a) 1)) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a))))) (* (- (* (* (sqr (+ (* 3 a) 1)) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (* (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (* (+ (* a 3) 1) (* (+ (* a 3) 1) (sqr (- 1 a)))) (sqr (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (* (+ (* a 3) 1) (* (+ (* a 3) 1) (sqr (- 1 a)))) (sqr (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 829 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) 4) (* (sqr (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))))) (* (+ (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) 4) (* (sqr (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))))) (* (+ (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) (* (sqr (* (sqr b) (- 1 (* a 3)))) (sqr (* (sqr b) (- 1 (* a 3)))))) (* (+ (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (sqr (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (+ (* (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) (* (sqr (* (sqr b) (- 1 (* a 3)))) (sqr (* (sqr b) (- 1 (* a 3)))))) (* (+ (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (sqr (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 830 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) 4) (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) 4) (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (+ (- (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (* (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))))) * * * * [misc]progress: [ 831 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))) (* (* 4 (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))))) (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (- (sqr a) (- a 1))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))))) (* (* (* (sqr (- (sqr a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))) (* (* 4 (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a))))) (- (* (* b b) (* b b)) (* (sqr a) (- (* b b) (sqr a)))))) (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (- (sqr a) (- a 1))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))))) (* (* (* (sqr (- (sqr a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * * [misc]simplify: iters left: 2 (392 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (+ (* (+ (* (sqr b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (+ (* (+ (* (sqr b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * * * * [misc]progress: [ 832 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))) (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (sqr (+ (* 3 a) 1))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))) (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (sqr (+ (* 3 a) 1))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (397 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (+ (* a 3) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (+ (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (+ (* a 3) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 833 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4))) (- (* (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4))) (- (* (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (sqr (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (+ (* (+ (* (sqr b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * [exit]simplify: Simplified to (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (sqr (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (+ (* (+ (* (sqr b) (- 1 (* 3 a))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * * * * [misc]progress: [ 834 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4)) (- (* (* (sqr (+ (* 3 a) 1)) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b)))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4)) (- (* (* (sqr (+ (* 3 a) 1)) (* (sqr a) (- 1 (sqr a)))) (* (sqr a) (- 1 (sqr a)))) (* (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b)))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b))))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (* (* (+ (* a 3) 1) (* (sqr (- 1 a)) (+ (* a 3) 1))) (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * [exit]simplify: Simplified to (* (* (+ (* a 3) 1) (* (sqr (- 1 a)) (+ (* a 3) 1))) (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * * * * [misc]progress: [ 835 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* 4 (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))))) (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))))) (* (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ a 1) (sqr a)))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* 4 (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))))) (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))))) (* (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))))) (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * [exit]simplify: Simplified to (* (+ (* (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))))) (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * * * * [misc]progress: [ 836 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) 4)) (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) 4)) (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b)))))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (* (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * [exit]simplify: Simplified to (* (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * * * * [misc]progress: [ 837 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ b a) (- b a)))))))) (* (* (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (+ b a) (- b a)) (* (* (sqr a) (sqr a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ b a) (- b a)))))))) (* (* (* (- (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (+ b a) (- b a)) (* (* (sqr a) (sqr a)) (* b b))))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (* (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (sqr (- (+ (sqr (* (sqr a) (sqr a))) (sqr (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))) (* (* (sqr a) (sqr a)) (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))))) * [exit]simplify: Simplified to (* (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (sqr (- (+ (sqr (* (sqr a) (sqr a))) (sqr (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))) (* (* (sqr a) (sqr a)) (- (* (sqr b) (sqr b)) (* (sqr a) (sqr b))))))) * * * * [misc]progress: [ 838 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* 4 (sqr (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (+ (sqr (* (+ a 1) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* 4 (sqr (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (+ (sqr (* (sqr a) (+ 1 a))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (sqr (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b))))) * [exit]simplify: Simplified to (* (+ (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (sqr (- (* (sqr a) (+ (sqr b) (sqr a))) (* (sqr b) (sqr b))))) * * * * [misc]progress: [ 839 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* 4 (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1)))) (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* 4 (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (sqr a) (- a 1)))) (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (sqr (- (+ (sqr (* (* b b) (* (+ a b) (- b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ a b) (- b a))) (* (sqr a) (sqr a)))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (sqr (- (+ (sqr (* (* b b) (* (+ a b) (- b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ a b) (- b a))) (* (sqr a) (sqr a)))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 840 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (+ (sqr a) (- 1 a))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (* (- (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (+ (sqr a) (- 1 a))) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (+ (sqr a) (- 1 a))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))) (* (- (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (+ (sqr a) (- 1 a))) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (324 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (- (+ (sqr (* (* b b) (* (- b a) (+ a b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (- b a) (+ a b))) (* (sqr a) (sqr a))))) (- (+ (sqr (* (* b b) (* (- b a) (+ a b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (- b a) (+ a b))) (* (sqr a) (sqr a))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (- (+ (sqr (* (* b b) (* (- b a) (+ a b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (- b a) (+ a b))) (* (sqr a) (sqr a))))) (- (+ (sqr (* (* b b) (* (- b a) (+ a b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (- b a) (+ a b))) (* (sqr a) (sqr a))))) * * * * [misc]progress: [ 841 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) 4) (* (* (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- 1 a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) 4) (* (* (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- 1 a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (* (sqr (+ (- (sqr (* (* b b) (* (- b a) (+ a b)))) (* (* (* b b) (* (- b a) (+ a b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (sqr (- 1 a))) (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (* (+ a 1) (sqr a)) (sqr (- 1 a))) (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (sqr (+ (- (sqr (* (* b b) (* (- b a) (+ a b)))) (* (* (* b b) (* (- b a) (+ a b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (sqr (- 1 a))) (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (* (+ a 1) (sqr a)) (sqr (- 1 a))) (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 842 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (* (* (+ (* 3 a) 1) (sqr (- 1 a))) (+ (* 3 a) 1))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (* 3 a) 1))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) 4) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (- (* (* b b) (* b b)) (* (* b b) (sqr a))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (* (* (+ (* 3 a) 1) (sqr (- 1 a))) (+ (* 3 a) 1))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ (* 3 a) 1))) (* (* (sqr (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) 4) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (* (* b b) (* b b)) (* (* b b) (sqr a)))))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (sqr (+ (- (sqr (* (* b b) (* (- b a) (+ a b)))) (* (* (* b b) (* (- b a) (+ a b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))) (sqr (+ (- (sqr (* (* b b) (* (- b a) (+ a b)))) (* (* (* b b) (* (- b a) (+ a b))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 843 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a))))) (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a))))) (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) * [exit]simplify: Simplified to (* (* (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) (+ (- (sqr (* (* b b) (* (+ b a) (- b a)))) (* (* (* b b) (* (+ b a) (- b a))) (* (sqr a) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))))) * * * * [misc]progress: [ 844 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (+ (* (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* 4 (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* 4 (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (- (+ (sqr (* (* b b) (* (- b a) (+ a b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (- b a) (+ a b))) (* (sqr a) (sqr a))))) (- (+ (sqr (* (* b b) (* (- b a) (+ a b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (- b a) (+ a b))) (* (sqr a) (sqr a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (- (+ (sqr (* (* b b) (* (- b a) (+ a b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (- b a) (+ a b))) (* (sqr a) (sqr a))))) (- (+ (sqr (* (* b b) (* (- b a) (+ a b)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (- b a) (+ a b))) (* (sqr a) (sqr a))))) * * * * [misc]progress: [ 845 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* 4 (* (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))))) (- (* (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* 4 (* (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))))) (- (* (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (sqr a) (- a 1))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) * [exit]simplify: Simplified to (* (* (sqr (- (sqr a) (- a 1))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) * * * * [misc]progress: [ 846 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* 4 (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))))))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (* (sqr (- (sqr a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* 4 (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))))))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (* (sqr (- (sqr a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) * [exit]simplify: Simplified to (* (* (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) * * * * [misc]progress: [ 847 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (* (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b))) (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a)))))) 4))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- 1 a)))) * * * * [misc]progress: [ 848 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (sqr a)) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4) (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* 3 a) 1) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1))) (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (sqr a)) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4) (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* 3 a) 1) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1))) (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) * * * * [misc]progress: [ 849 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (sqr (cube (* (+ a 1) (sqr a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) 4)) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (sqr (cube a)) (cube (* b b))))) (* (- (sqr (cube a)) (cube (* b b))) (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (sqr (cube (* (+ a 1) (sqr a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) 4)) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (sqr (cube a)) (cube (* b b))))) (* (- (sqr (cube a)) (cube (* b b))) (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))))) * [exit]simplify: Simplified to (* (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (sqr (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))))) * * * * [misc]progress: [ 850 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) 4) (sqr (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) 4) (sqr (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (* (* b b) (* b b))))))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (sqr (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 851 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* 4 (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a)))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* 4 (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (sqr (- (sqr a) (- a 1))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (sqr (- (sqr a) (- a 1))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 852 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (sqr (+ (* 3 a) 1)) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (sqr (+ (* 3 a) 1)) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (sqr (- (sqr a) (- a 1))) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) * * * * [misc]progress: [ 853 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) 4)) (- (* (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))) 4)) (- (* (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) * * * * [misc]progress: [ 854 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))))) (* (* (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) 4)) (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (sqr a)) (sqr a)))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))))) (* (* (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) 4)) (- (* (sqr (+ (* 3 a) 1)) (sqr (* (- 1 (sqr a)) (sqr a)))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (* b b)) (- 1 (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 855 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) 4)) (- (sqr (cube (* (+ a 1) (sqr a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b)))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a))))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) 4)) (- (sqr (cube (* (+ a 1) (sqr a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 856 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (* (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) (+ (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) 4)))) * [exit]simplify: Simplified to (* (- (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) (+ (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) 4)))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))))) * * * * [misc]progress: [ 857 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (- b a) (+ b a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (sqr a)) 4) (* (- 1 (* 3 a)) (* (* b b) 4)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (- b a) (+ b a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (* (* b b) (* (- b a) (+ b a))) (* (* b b) (* (- b a) (+ b a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (- b a) (+ b a)))))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (sqr a)) 4) (* (- 1 (* 3 a)) (* (* b b) 4)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (- b a) (+ b a)))))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (sqr (- (+ (sqr (* (* b b) (* (+ a b) (- b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ a b) (- b a))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (sqr (- (+ (sqr (* (* b b) (* (+ a b) (- b a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (* (* (* b b) (* (+ a b) (- b a))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 858 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* 4 (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* 4 (* (+ a 1) (sqr a))))))) * [enter]simplify: Simplifying (* (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 859 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) 4) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))))) (* (* (* (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (* (sqr a) (- 1 (cube a))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) 4) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))))) (* (* (* (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (492 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (sqr (- (sqr a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (* (* (sqr (- (sqr a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * * * * [misc]progress: [ 860 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (* (sqr a) (- 1 (cube a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))))) (* (* (* (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (sqr (* (sqr a) (- 1 (cube a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4) (* (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))))) (* (* (* (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (+ (cube (sqr a)) (sqr (cube b))) (sqr (cube b))))) (sqr (- (* (* (* (* b b) (+ a b)) (- b a)) (* (* (* b b) (+ a b)) (- b a))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (+ (cube (sqr a)) (sqr (cube b))) (sqr (cube b))))) (sqr (- (* (* (* (* b b) (+ a b)) (- b a)) (* (* (* b b) (+ a b)) (- b a))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 861 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- 1 a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b))))))) (* (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) 4) (- (* (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (- (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a)))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- 1 a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (* (cube a) (cube a))) (* (cube (cube b)) (cube (cube b))))))) (* (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a)))))) 4) (- (* (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (* (- (sqr (* b b)) (* (* a b) (* a b))) (- (sqr (* b b)) (* (* a b) (* a b)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (sqr (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (sqr (- (* (- (sqr (* b b)) (* (* a b) (* a b))) (- (sqr (* b b)) (* (* a b) (* a b)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (sqr (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 862 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a)))))) (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a)))))) (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a))))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) 4) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (407 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (sqr (+ (* 3 a) 1)) (sqr (- 1 a)))) (sqr (- (* (* (* (* b b) (+ a b)) (- b a)) (* (* (* b b) (+ a b)) (- b a))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (sqr (+ (* 3 a) 1)) (sqr (- 1 a)))) (sqr (- (* (* (* (* b b) (+ a b)) (- b a)) (* (* (* b b) (+ a b)) (- b a))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * * * * [misc]progress: [ 863 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))))) (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (+ a 1) (sqr a)))))) (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))))) (* (* (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (+ a 1) (sqr a)))))) (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (* (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (* (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 864 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))))) (* (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (- (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b)))) (- (cube (sqr (cube a))) (* (cube (cube b)) (cube (cube b))))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))))) (sqr (+ (sqr (* (sqr a) (sqr a))) (* (* (* b b) (- (* b b) (sqr a))) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 865 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (- (sqr a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* 4 (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (+ (- (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (- (sqr a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a)))))) (* 4 (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (429 enodes) * [exit]simplify: Simplified to (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (* (sqr (cube b)) (sqr (cube b))) (* (cube (sqr a)) (+ (cube (sqr a)) (sqr (cube b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (+ (* (sqr (cube b)) (sqr (cube b))) (* (cube (sqr a)) (+ (cube (sqr a)) (sqr (cube b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (* (sqr (cube b)) (sqr (cube b))) (* (cube (sqr a)) (+ (cube (sqr a)) (sqr (cube b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (+ (* (sqr (cube b)) (sqr (cube b))) (* (cube (sqr a)) (+ (cube (sqr a)) (sqr (cube b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))))) * * * * [misc]progress: [ 866 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) 4)) (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))))) (- (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))) 4)) (* (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (* (- (cube (* (cube a) (cube a))) (cube (* (cube b) (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (* (sqr (- (sqr a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))))) (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 867 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- 1 a) (- 1 a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))))))) (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))) (- (* (* (sqr (* (- 1 (sqr a)) (sqr a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) 4)) * [exit]simplify: Simplified to (+ (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- 1 a) (- 1 a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))))))) (* (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))) (- (* (* (sqr (* (- 1 (sqr a)) (sqr a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) 4)) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (* (sqr (- 1 a)) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (+ (* (cube a) (cube a)) (* (cube b) (cube b))))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (* (sqr (- 1 a)) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 868 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b))))) (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (* (- 1 a) (- 1 a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (sqr (+ (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))) (* (cube (sqr a)) (cube (sqr a))))) (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))) (* (sqr (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (cube (sqr a))) (* (cube (cube b)) (cube (cube b))))) (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (* (- 1 a) (- 1 a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (* (* (sqr (+ (* (sqr (cube b)) (+ (cube (sqr a)) (sqr (cube b)))) (* (cube (sqr a)) (cube (sqr a))))) (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))) (* (sqr (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) 4))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (366 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))))) * * * * [misc]progress: [ 869 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a))))) (* (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (* (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a))))) (* (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (+ (* (sqr (* (+ 1 a) (sqr a))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (+ (* (sqr (* (+ 1 a) (sqr a))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))))) (sqr (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 870 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) 4)) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (cube (cube (sqr a))) (cube (* (cube b) (cube b)))) (- (cube (cube (sqr a))) (cube (* (cube b) (cube b)))))) (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) 4)) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a)))))))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (cube (cube (sqr a))) (cube (* (cube b) (cube b)))) (- (cube (cube (sqr a))) (cube (* (cube b) (cube b)))))) (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (sqr (cube b))))) (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))))) * [exit]simplify: Simplified to (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (sqr (cube b))))) (* (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))))) * * * * [misc]progress: [ 871 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (* (* (sqr (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))) (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) 4))) (- (* (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (* (* (sqr (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))) (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) 4))) (- (* (* (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (+ (* (* (cube b) (cube b)) (* (cube b) (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (* (* (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (+ (* (* (cube b) (cube b)) (* (cube b) (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (* (cube b) (cube b))))))) * * * * [misc]progress: [ 872 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (* (* (sqr (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))) (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (cube a)))) (* (sqr a) (- 1 (cube a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (* (* (sqr (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))) (- (* (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (cube a)))) (* (sqr a) (- 1 (cube a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a))))))) (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) 4) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* 3 a) 1)) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* 3 a) 1)) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b)))))) * * * * [misc]progress: [ 873 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (* (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) 4)) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 a) (- 1 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (sqr (cube a)) (sqr (cube a))))) (* (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) 4)) (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 a) (- 1 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (sqr (+ (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 874 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b)))))) (* (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (sqr (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (- (* (sqr (+ 1 (* 3 a))) (sqr (* (- 1 (sqr a)) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b)))))) (* (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (* (+ (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))) (* (sqr (cube a)) (sqr (cube a)))) (sqr (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (- (* (sqr (+ 1 (* 3 a))) (sqr (* (- 1 (sqr a)) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) * [exit]simplify: Simplified to (* (sqr (+ (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) * * * * [misc]progress: [ 875 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (sqr (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))))) (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (sqr (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))))) (* (* (- (cube (sqr (cube a))) (cube (* (cube b) (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (sqr (cube a))) (cube (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (* (+ 1 a) (sqr a))) (+ (sqr (* (+ 1 a) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (+ (cube (sqr a)) (sqr (cube b))) (sqr (cube b)))))) * [exit]simplify: Simplified to (* (+ (* (sqr (* (+ 1 a) (sqr a))) (+ (sqr (* (+ 1 a) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (cube (sqr a)) (cube (sqr a))) (* (+ (cube (sqr a)) (sqr (cube b))) (sqr (cube b)))))) * * * * [misc]progress: [ 876 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (* (* (sqr (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* 4 (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (cube a) (cube a))) (cube (sqr (cube b)))))) (* (* (sqr (+ (* (sqr (cube b)) (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (cube a) (cube a)) (* (cube a) (cube a))))) (* (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))) (* 4 (+ (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (cube b)) (sqr (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube b)) (sqr (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))))) * [exit]simplify: Simplified to (* (+ (* (sqr (cube b)) (sqr (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (sqr (cube b))))) (* (+ (* (sqr (cube b)) (sqr (cube b))) (* (sqr (cube a)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ 1 a) (sqr a)))))) * * * * [misc]progress: [ 877 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b)))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b))))) (+ (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (+ (sqr (cube a)) (sqr (cube b)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (- (* b b) (sqr a)))))))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (cube (sqr (cube a))) (cube (sqr (cube b)))) (- (cube (sqr (cube a))) (cube (sqr (cube b)))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b)))) (- (* (* (* (* b b) (+ a b)) (- b a)) (* (* (* b b) (+ a b)) (- b a))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b)))) (- (* (* (* (* b b) (+ a b)) (- b a)) (* (* (* b b) (+ a b)) (- b a))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b)))) (- (* (* (* (* b b) (+ a b)) (- b a)) (* (* (* b b) (+ a b)) (- b a))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (* (+ (* (sqr (cube a)) (sqr (cube a))) (* (+ (sqr (cube a)) (sqr (cube b))) (sqr (cube b)))) (- (* (* (* (* b b) (+ a b)) (- b a)) (* (* (* b b) (+ a b)) (- b a))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) * * * * [misc]progress: [ 878 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (pow (sqr a) 3) 3) (pow (pow (sqr b) 3) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (+ (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (cube (cube (sqr a))) (cube (* (cube b) (cube b)))) (- (cube (cube (sqr a))) (cube (* (cube b) (cube b))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) 4)) (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (cube (cube (sqr a))) (cube (* (cube b) (cube b)))) (- (cube (cube (sqr a))) (cube (* (cube b) (cube b))))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b))))) (+ (* (cube (sqr a)) (cube (sqr a))) (* (* (cube b) (cube b)) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (* (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) 4)) (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (pow (sqr a) 3)) (+ (sqr (pow (sqr b) 3)) (* (pow (sqr a) 3) (pow (sqr b) 3))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr (cube b)) (sqr (cube b))) (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr (cube b)) (sqr (cube b))) (* (* (cube a) (cube a)) (+ (* (cube a) (cube a)) (sqr (cube b)))))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) * * * * [misc]progress: [ 879 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (sqr a) (- a 1)))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))))) (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (sqr a) (- a 1)))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (sqr (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (* 4 (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))))) (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (* (+ (sqr (cube a)) (sqr (cube b))) (+ (sqr (cube a)) (sqr (cube b)))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) (* (- (sqr (- (* (* b b) (* b b)) (* (* a b) (* a b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a)))) (- (sqr (- (* (* b b) (* b b)) (* (* a b) (* a b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))))) (* (- (sqr (- (* (* b b) (* b b)) (* (* a b) (* a b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a)))) (- (sqr (- (* (* b b) (* b b)) (* (* a b) (* a b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 880 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* 4 (- (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (sqr a) (- 1 (cube a)))) (* (sqr a) (- 1 (cube a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (* 4 (- (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (sqr a) (- 1 (cube a)))) (* (sqr a) (- 1 (cube a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (- (sqr a) (- a 1)))) (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (sqr a) (sqr a)) (* (* b b) (* (+ b a) (- b a))))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a))))) (* (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 881 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- 1 a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* 4 (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (- (* (* (sqr (* (- 1 (sqr a)) (sqr a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (+ (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (* (* (* b b) (* (+ b a) (- b a))) (* (* b b) (* (+ b a) (- b a))))) (* (* (* (sqr a) (sqr a)) (* b b)) (* (+ b a) (- b a))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- 1 a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* 4 (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (* (* b b) (* (+ b a) (- b a))))))) (- (* (* (sqr (* (- 1 (sqr a)) (sqr a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (sqr (- 1 a)) (sqr (* b b))) (sqr (- 1 (cube (* 3 a))))))) (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a)))) (sqr (- 1 a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a)))) (- (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a)))) (sqr (- 1 a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a)))) (- (sqr (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 882 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))) (* (* 4 (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* (* (sqr (- (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (- (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (- (* (* (* (- 1 (sqr a)) (sqr a)) (* (- 1 (sqr a)) (sqr a))) (sqr (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))) (* (* 4 (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))))) (* (* (sqr (- (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (- (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a)))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a))))))) * * * * [misc]progress: [ 883 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (+ a 1) (sqr a))))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (sqr (- (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))))))) * [exit]simplify: Simplified to (+ (* (* 4 (- (sqr (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a))))) (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (cube (- (sqr (* b b)) (* (* b b) (sqr a)))))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (sqr (sqr (* (+ a 1) (sqr a))))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))))) (sqr (- (* (- (sqr (* b b)) (* (* b b) (sqr a))) (- (sqr (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (* (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (sqr (* (+ 1 a) (sqr a))))))) * [exit]simplify: Simplified to (* (* (+ (cube (* b b)) (sqr (cube a))) (+ (cube (* b b)) (sqr (cube a)))) (* (* (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (sqr (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ 1 a) (sqr a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))) (sqr (sqr (* (+ 1 a) (sqr a))))))) * * * * [misc]progress: [ 884 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (+ (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) 4))) (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b)))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b))))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (+ (* (- (sqr (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a)))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (- (* b b) (sqr a))))) 4))) (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b)))) (* (+ (cube (sqr a)) (* (cube b) (cube b))) (- (cube (sqr a)) (* (cube b) (cube b))))))) (sqr (- (* (* (* b b) (- (* b b) (sqr a))) (* (* b b) (- (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (- (* (* b b) (- (* b b) (sqr a))) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ 1 a) (sqr a)))) (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a))))) (* (+ (* (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ 1 a) (sqr a)))) (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a))))) (* (+ (* (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))) (+ (* (- (* (* b b) (* b b)) (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (* (* b b) (* b b)) (* (* b b) (sqr a)))) (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 885 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (cube (* b b)) (cube (* b b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (cube (* b b)) (cube (* b b))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (sqr (- (sqr a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (cube a)) (cube (* b b))) (+ (sqr (cube a)) (cube (* b b)))) (* (* (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) 4) (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (cube (* b b)) (cube (* b b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (cube (* b b)) (cube (* b b))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (sqr (- (sqr a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (cube a)) (cube (* b b))) (+ (sqr (cube a)) (cube (* b b)))) (* (* (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) 4) (- (* (sqr (* (- 1 (cube a)) (sqr a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (sqr (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) * * * * [misc]progress: [ 886 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (+ (sqr a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (* (sqr (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (sqr (+ (cube (sqr a)) (sqr (cube b))))) (* 4 (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (+ (sqr a) (- 1 a))) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))) (* (sqr (+ (sqr a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (* (sqr (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (+ (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))))) (sqr (+ (cube (sqr a)) (sqr (cube b))))) (* 4 (- (* (* (* (- 1 (cube a)) (sqr a)) (* (- 1 (cube a)) (sqr a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (sqr (+ (sqr a) (- 1 a))) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (* (* (sqr (+ (* 3 a) 1)) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a))))) * [exit]simplify: Simplified to (* (* (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (* (* (sqr (+ (* 3 a) 1)) (* (+ (sqr a) (- 1 a)) (+ (sqr a) (- 1 a)))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (+ (cube (* b b)) (* (cube a) (cube a))) (+ (cube (* b b)) (* (cube a) (cube a))))) * * * * [misc]progress: [ 887 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))) (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) 4)) (* (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))) (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (cube a)) (* (cube b) (cube b)))) (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))) (* (- (* (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))) 4)) (* (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))) (+ (* (* b b) (sqr a)) (* (- (sqr a) (* b b)) (+ (* b b) (sqr a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (* (* (* (+ (cube (* b b)) (cube (sqr a))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (+ (cube (* b b)) (cube (sqr a))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (sqr (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (cube (* b b)) (cube (sqr a))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (+ (cube (* b b)) (cube (sqr a))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) (* (sqr (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 888 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (* (- (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4))) * [exit]simplify: Simplified to (+ (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a)))) (- (* (sqr a) (sqr a)) (* (* b b) (- (* b b) (sqr a))))))) (* (* (sqr (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (- (* b b) (sqr a)))))) (sqr (+ (sqr (cube a)) (sqr (cube b))))) (* (- (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- 1 (sqr a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))) 4))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 889 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))) 4) (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))) (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a))))) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (sqr (* b b)))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (sqr (* b b))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))) 4) (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))) (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a))))) (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a))))) (* (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (sqr (* b b)))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (sqr (* b b))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (+ (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (+ (sqr (cube b)) (* (cube a) (cube a)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (- (+ (* (* b b) (sqr a)) (* (sqr a) (sqr a))) (* (* b b) (* b b)))) (+ (sqr (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 890 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) 4) (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))) (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b)))) (+ (* (* b b) (sqr a)) (- (* (sqr a) (sqr a)) (sqr (* b b))))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) 4) (* (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))) (- (* (* (sqr a) (sqr a)) (* (sqr a) (sqr a))) (sqr (* (* b b) (* (+ b a) (- b a))))))) (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (429 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (+ (* (* (+ a 1) (sqr a)) (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (* (+ (sqr (cube b)) (* (cube a) (cube a))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (+ (sqr (cube b)) (* (cube a) (cube a))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 891 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b))))))) (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) 4)) (- (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (sqr (cube b)) (sqr (cube b))))))) (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (sqr (+ (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (* b b) (sqr a))))) 4)) (- (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (sqr a) (- 1 (cube a))) (* (sqr a) (- 1 (cube a))))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a)))))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (sqr (- (sqr a) (- a 1))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (sqr (cube b)) (sqr (cube a))))) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (sqr (- (sqr a) (- a 1))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (sqr (cube b)) (sqr (cube a))))) * * * * [misc]progress: [ 892 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (pow 1 3) (pow a 3)))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) 4)) (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr a) (- a 1))) (sqr (+ 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (+ (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (sqr (+ (* (cube a) (cube a)) (sqr (cube b)))) (* (* (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))) (- (+ (sqr (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) 4)) (- (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube a)) (sqr a))) (* (- 1 (cube a)) (sqr a))) (* (* (sqr (- (sqr a) (- a 1))) (sqr (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* 3 a) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* 3 a) 1)) (* (- (sqr a) (- a 1)) (- (sqr a) (- a 1)))) (* (+ (* (cube b) (cube b)) (sqr (cube a))) (+ (* (cube b) (cube b)) (sqr (cube a))))) * * * * [misc]progress: [ 893 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (- (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (sqr (* (sqr a) (- 1 (sqr a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (- (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))) (* (- (cube (sqr a)) (* (cube b) (cube b))) (+ (cube (sqr a)) (* (cube b) (cube b)))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- 1 a)) (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * [exit]simplify: Simplified to (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (- 1 a)) (* (+ (cube (* b b)) (* (cube a) (cube a))) (- 1 a))) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (cube (* b b)) (* (cube a) (cube a))) (- 1 a)) (* (+ (cube (* b b)) (* (cube a) (cube a))) (- 1 a))) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a))))) * * * * [misc]progress: [ 894 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (sqr (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (441 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (sqr a) (- 1 (sqr a))) (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) (* (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) 4) (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (+ (* (- (* (* (sqr a) (- 1 (sqr a))) (* (sqr (+ 1 (* 3 a))) (* (sqr a) (- 1 (sqr a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (sqr (- 1 (sqr (* 3 a)))))) (* (* (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))) 4) (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a)))))) (* (* (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (+ 1 (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube b) (cube b)) (cube (sqr a))) (+ (* (cube b) (cube b)) (cube (sqr a)))) (* (* (+ 1 (* 3 a)) (* (- 1 a) (- 1 a))) (+ 1 (* 3 a)))) * [exit]simplify: Simplified to (* (* (+ (* (cube b) (cube b)) (cube (sqr a))) (+ (* (cube b) (cube b)) (cube (sqr a)))) (* (* (+ 1 (* 3 a)) (* (- 1 a) (- 1 a))) (+ 1 (* 3 a)))) * * * * [misc]progress: [ 895 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (cube (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a)))) (* 4 (+ (- (sqr (* b b)) (* (* b b) (sqr a))) (* (sqr a) (sqr a))))) (- (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (cube (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr (* (+ a 1) (sqr a))) (sqr (* (+ a 1) (sqr a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (380 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (sqr (* (+ a 1) (sqr a))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))) (+ (* (sqr (* (+ a 1) (sqr a))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 896 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) 4) (sqr (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))) (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (cube a)) (* (cube b) (cube b))) (+ (sqr (cube a)) (* (cube b) (cube b)))) 4) (sqr (- (+ (* (sqr a) (sqr a)) (sqr (* b b))) (* (* b b) (sqr a))))) (* (- (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) (+ (sqr (* (+ a 1) (sqr a))) (sqr (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 897 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (pow (sqr (sqr a)) 3) (pow (- (sqr (sqr b)) (* (sqr a) (sqr b))) 3))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (* (+ (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))))) (sqr (- (* (* (* b b) (* (+ a b) (- b a))) (* (* b b) (* (+ a b) (- b a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) (* (* (* (+ (cube (sqr a)) (sqr (cube b))) (+ (cube (sqr a)) (sqr (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ a b) (- b a)))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ a b) (- b a))))) (* (+ (* (- 1 (* 3 a)) (* (* b b) 4)) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))) (* (+ (cube (sqr a)) (sqr (cube b))) (- (cube (sqr a)) (sqr (cube b)))))) (sqr (- (* (* (* b b) (* (+ a b) (- b a))) (* (* b b) (* (+ a b) (- b a)))) (* (* (sqr a) (sqr a)) (- (sqr (* b b)) (* (sqr a) (+ (* b b) (sqr a)))))))) (* (* (* (+ (cube (sqr a)) (sqr (cube b))) (+ (cube (sqr a)) (sqr (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ a b) (- b a)))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (cube (* (* b b) (* (+ a b) (- b a))))) (* (+ (* (- 1 (* 3 a)) (* (* b b) 4)) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (sqr (+ (sqr (sqr (sqr a))) (- (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))) (* (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube b)) (sqr (cube a))) (- (sqr (- (* (* b b) (* b b)) (* (* a b) (* a b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a))))) (* (+ (sqr (cube b)) (sqr (cube a))) (- (sqr (- (* (* b b) (* b b)) (* (* a b) (* a b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube b)) (sqr (cube a))) (- (sqr (- (* (* b b) (* b b)) (* (* a b) (* a b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a))))) (* (+ (sqr (cube b)) (sqr (cube a))) (- (sqr (- (* (* b b) (* b b)) (* (* a b) (* a b)))) (* (- (* (* b b) (* b b)) (* (sqr a) (+ (* b b) (sqr a)))) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 898 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (pow (sqr a) 3)) (sqr (pow (sqr b) 3)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (* (sqr (- (sqr (sqr (sqr a))) (sqr (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (* (* (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (* (+ (cube (sqr a)) (sqr (cube b))) (* (+ (cube (sqr a)) (sqr (cube b))) 4))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (* (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))) (- (* (cube (sqr a)) (cube (sqr a))) (* (sqr (cube b)) (sqr (cube b)))))) (* (* (* (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b)))) (* (- (sqr (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))) (- (* (sqr a) (+ (* b b) (sqr a))) (sqr (* b b))))) (* (+ (cube (sqr a)) (sqr (cube b))) (* (+ (cube (sqr a)) (sqr (cube b))) 4))) (* (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))) (- (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) * [enter]simplify: Simplifying (* (sqr (+ (pow (sqr a) 3) (pow (sqr b) 3))) (sqr (- (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (492 enodes) * [exit]simplify: Simplified to (sqr (* (+ (sqr (cube b)) (sqr (cube a))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) * [exit]simplify: Simplified to (sqr (* (+ (sqr (cube b)) (sqr (cube a))) (- (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) * * * * [misc]progress: [ 899 / 912 ] simplifiying candidate # * * * * [misc]progress: [ 900 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3) (pow (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))) 3)) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (- (cube (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (cube (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a))))) (sqr (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))))) * [exit]simplify: Simplified to (- (cube (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (cube (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a))))) (sqr (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))))) * [enter]simplify: Simplifying (+ (sqr (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (- (sqr (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) (* (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (346 enodes) * [exit]simplify: Simplified to (- (sqr (* (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))))) (* (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (- (* (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (- (sqr (* (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))))) (* (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (- (* (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (sqr (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))))) * * * * [misc]progress: [ 901 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (sqr (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (* (- (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4))) (sqr (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) (+ (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4))) (sqr (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (- (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4))) (sqr (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a))))))) (+ (* (* (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4))) (sqr (- (* (* b b) (* b b)) (- (* (* b b) (sqr a)) (* (sqr a) (sqr a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * [enter]simplify: Simplifying (- (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (- (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* (* 4 (* b b)) (- 1 (* 3 a))) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 902 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (sqr (* (sqr a) (+ 1 a)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube a) (cube b)) (+ (cube a) (cube b))) (* (- (cube a) (cube b)) (+ (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (sqr (* (+ a 1) (sqr a))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube a) (cube b)) (+ (cube a) (cube b))) (* (- (cube a) (cube b)) (+ (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (sqr (* (+ a 1) (sqr a))) 4))) * * * * [misc]progress: [ 903 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* (sqr (* (sqr a) (+ 1 a))) 4))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (* (* 4 (sqr (* (+ a 1) (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (* (* 4 (sqr (* (+ a 1) (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) * * * * [misc]progress: [ 904 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* 4 (sqr (* (sqr a) (+ 1 a)))) (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (* (* (* 4 (sqr a)) (sqr (+ a (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) * [exit]simplify: Simplified to (+ (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (* (* (* 4 (sqr a)) (sqr (+ a (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a))))) * * * * [misc]progress: [ 905 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (* (sqr (* (sqr a) (+ 1 a))) 4) (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube a) (cube b)) (+ (cube a) (cube b))) (* (- (cube a) (cube b)) (+ (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (sqr (* (+ a 1) (sqr a))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube a) (cube b)) (+ (cube a) (cube b))) (* (- (cube a) (cube b)) (+ (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))) (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (sqr (* (+ a 1) (sqr a))) 4))) * * * * [misc]progress: [ 906 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (* (- 1 (* 3 a)) (- (* b b)))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (* (+ (* (- 1 (* 3 a)) (* (* b b) 4)) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube a)) (cube (* b b))) (- (sqr (cube a)) (cube (* b b)))) (* (- 1 (* 3 a)) (- (* b b)))) (* (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a))) (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (* b b) (sqr a)))) (* (+ (* (- 1 (* 3 a)) (* (* b b) 4)) (* (* (+ a 1) (sqr a)) 4)) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 907 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) a) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* 4 (* (+ 1 a) (sqr a))) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (cube a) (* (- 1 (* 3 a)) (* b b))) (* (* (- (cube a) (cube b)) (+ (cube a) (cube b))) (* (- (cube a) (cube b)) (+ (cube a) (cube b)))))) * [exit]simplify: Simplified to (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* 4 (* (+ 1 a) (sqr a))) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (cube a) (* (- 1 (* 3 a)) (* b b))) (* (* (- (cube a) (cube b)) (+ (cube a) (cube b))) (* (- (cube a) (cube b)) (+ (cube a) (cube b)))))) * * * * [misc]progress: [ 908 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* a (sqr a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* 4 (* (+ 1 a) (sqr a))) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (cube a) (* (- 1 (* 3 a)) (* b b))) (* (* (- (cube a) (cube b)) (+ (cube a) (cube b))) (* (- (cube a) (cube b)) (+ (cube a) (cube b)))))) * [exit]simplify: Simplified to (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (* b b) (sqr a)))) (* (+ (* 4 (* (+ 1 a) (sqr a))) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ 1 a) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (* (- (cube a) (* (- 1 (* 3 a)) (* b b))) (* (* (- (cube a) (cube b)) (+ (cube a) (cube b))) (* (- (cube a) (cube b)) (+ (cube a) (cube b)))))) * * * * [misc]progress: [ 909 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (sqr b) (- 1 (* 3 a)))) (sqr (- (pow (sqr a) 3) (pow (sqr b) 3)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (- 1 (* a 3)) (* b (- b))) (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b))))) (* (* (- (+ (* (* a a) (* a a)) (* (sqr b) (sqr b))) (* (sqr b) (* a a))) (- (+ (* (* a a) (* a a)) (* (sqr b) (sqr b))) (* (sqr b) (* a a)))) (* (+ (* (* 4 (sqr b)) (- 1 (* a 3))) (* (* (* a a) (+ a 1)) 4)) (- (* (* a a) (+ a 1)) (* (- 1 (* a 3)) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (- 1 (* a 3)) (* b (- b))) (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b))))) (* (* (- (+ (* (* a a) (* a a)) (* (sqr b) (sqr b))) (* (sqr b) (* a a))) (- (+ (* (* a a) (* a a)) (* (sqr b) (sqr b))) (* (sqr b) (* a a)))) (* (+ (* (* 4 (sqr b)) (- 1 (* a 3))) (* (* (* a a) (+ a 1)) 4)) (- (* (* a a) (+ a 1)) (* (- 1 (* a 3)) (sqr b)))))) * * * * [misc]progress: [ 910 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (sqr a) a) (* (sqr b) (- 1 (* 3 a)))) (sqr (- (pow (sqr a) 3) (pow (sqr b) 3)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (sqr a) (* b b)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* a 3)) (* b b))) (+ (* 4 (* (+ a 1) (sqr a))) (* (* 4 (* b b)) (- 1 (* a 3)))))) (* (- (cube a) (* (- 1 (* a 3)) (* b b))) (sqr (- (* (cube a) (cube a)) (sqr (cube b)))))) * [exit]simplify: Simplified to (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (sqr a) (* b b)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* a 3)) (* b b))) (+ (* 4 (* (+ a 1) (sqr a))) (* (* 4 (* b b)) (- 1 (* a 3)))))) (* (- (cube a) (* (- 1 (* a 3)) (* b b))) (sqr (- (* (cube a) (cube a)) (sqr (cube b)))))) * * * * [misc]progress: [ 911 / 912 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* a (sqr a)) (* (sqr b) (- 1 (* 3 a)))) (sqr (- (pow (sqr a) 3) (pow (sqr b) 3)))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (sqr a) (* b b)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* a 3)) (* b b))) (+ (* 4 (* (+ a 1) (sqr a))) (* (* 4 (* b b)) (- 1 (* a 3)))))) (* (- (cube a) (* (- 1 (* a 3)) (* b b))) (sqr (- (* (cube a) (cube a)) (sqr (cube b)))))) * [exit]simplify: Simplified to (+ (* (sqr (- (+ (* (* b b) (* b b)) (* (sqr a) (sqr a))) (* (sqr a) (* b b)))) (* (- (* (+ a 1) (sqr a)) (* (- 1 (* a 3)) (* b b))) (+ (* 4 (* (+ a 1) (sqr a))) (* (* 4 (* b b)) (- 1 (* a 3)))))) (* (- (cube a) (* (- 1 (* a 3)) (* b b))) (sqr (- (* (cube a) (cube a)) (sqr (cube b)))))) * * * * [misc]progress: [ 912 / 912 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (- (+ (+ (pow b 4) (+ (* 2 (* (sqr b) (sqr a))) (pow a 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (+ (+ (* (* 4 (sqr b)) (- 1 (* a 3))) (* (* a a) (+ (* a 4) 4))) (+ (+ (pow b 4) (- (pow a 4) 1)) (* 2 (* (sqr b) (* a a))))) * [enter]simplify: Simplifying (+ (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (* 4 (- (sqr (* (sqr a) (+ 1 a))) (sqr (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (- (* b b) (sqr a)) (* b b)) (* (sqr a) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (- (* b b) (sqr a)) (* b b)) (* (sqr a) (sqr a)))) (* (+ (* (* (+ a 1) (sqr a)) 4) (* (* 4 (* b b)) (- 1 (* 3 a)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (cube a) (cube b)) (- (cube a) (cube b))) (* (+ (cube a) (cube b)) (- (cube a) (cube b)))) (- (* (+ a 1) (sqr a)) (* (* b b) (- 1 (* 3 a)))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr a)) (- (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (* (- (+ (* (sqr a) (sqr a)) (* (* b b) (* b b))) (* (sqr a) (* b b))) (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (* b b))))) * [enter]simplify: Simplifying (- (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (- (+ (* (* b (* b 4)) (- 1 (* a 3))) (* (sqr a) (+ 4 (* a 4)))) (- 1 (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b)))))